Find the missing number (triangle)

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
4
down vote

favorite
1












Find the missing number (triangle)
enter image description here



Options:
9
8
7
10



Please write the logic also.






pattern calculation-puzzle sequence







share|improve this question























  • Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
    – rhsquared
    Aug 26 at 7:32










  • Also are you sure your options for the answer are right? Did you get the options with the question?
    – nikki
    Aug 26 at 8:01














up vote
4
down vote

favorite
1












Find the missing number (triangle)
enter image description here



Options:
9
8
7
10



Please write the logic also.






pattern calculation-puzzle sequence







share|improve this question























  • Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
    – rhsquared
    Aug 26 at 7:32










  • Also are you sure your options for the answer are right? Did you get the options with the question?
    – nikki
    Aug 26 at 8:01












up vote
4
down vote

favorite
1









up vote
4
down vote

favorite
1






1





Find the missing number (triangle)
enter image description here



Options:
9
8
7
10



Please write the logic also.






pattern calculation-puzzle sequence







share|improve this question















Find the missing number (triangle)
enter image description here



Options:
9
8
7
10



Please write the logic also.






pattern calculation-puzzle sequence




pattern calculation-puzzle sequence






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Aug 26 at 7:24

























asked Aug 26 at 7:18









user1942348

1233




1233











  • Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
    – rhsquared
    Aug 26 at 7:32










  • Also are you sure your options for the answer are right? Did you get the options with the question?
    – nikki
    Aug 26 at 8:01
















  • Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
    – rhsquared
    Aug 26 at 7:32










  • Also are you sure your options for the answer are right? Did you get the options with the question?
    – nikki
    Aug 26 at 8:01















Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
– rhsquared
Aug 26 at 7:32




Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
– rhsquared
Aug 26 at 7:32












Also are you sure your options for the answer are right? Did you get the options with the question?
– nikki
Aug 26 at 8:01




Also are you sure your options for the answer are right? Did you get the options with the question?
– nikki
Aug 26 at 8:01










2 Answers
2






active

oldest

votes

















up vote
4
down vote



accepted










Answer:




$$?=10.$$




$$$$



Explanation:



Suppose that




we have an equilateral triangle $Delta rm ABC$:

TRIANGLE




Then,




the number in the middle of the triangle (say, $rm M$) is created from the formula: $$rm M = (Itimes II) + III - 10.$$




$$$$



Examples:




  1. $$beginalign 33 &= (5times 7) + 8 - 10 \ &= 35 -2 \ &= 33;colorgreencheckmark tag1 endalign$$






  1. $$beginalign 63 &= (7times 9) + 10 - 10 \ &= 63 + 0 \ &= 63;colorgreencheckmarktag2endalign$$





And last but not least...




  1. $$beginalign132 &= (12times 11):+:? - 10 \ &= 132:+:? - 10 \ &= 122:+:? \ &Downarrow \ ?&=132-122 \ &= 10.tag3endalign$$







share|improve this answer


















  • 1




    (+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
    – TheSimpliFire
    Aug 26 at 13:09






  • 1




    @TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
    – user477343
    Aug 26 at 13:23







  • 1




    Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
    – TheSimpliFire
    Aug 26 at 13:54






  • 1




    Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
    – user477343
    Aug 26 at 21:50


















up vote
1
down vote













Alternative answer:




Pattern:




The fractional part of $fractextnumber in triangletextnumber left of triangle$ is less than $frac12$.





Hence the answer is




$10$




as




$$frac1327=18.85cdots,quadfrac1328=16.5,quadfrac1329=14.66cdots,quadfrac13210=13.2$$





Examples:




$$frac338=4.125,quadfrac6310=6.3$$








share|improve this answer






















  • Talking about $LaTeX$, go here!!
    – user477343
    Sep 1 at 5:09










  • @user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
    – TheSimpliFire
    Sep 1 at 18:22










  • Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
    – user477343
    Sep 1 at 18:24











  • @user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
    – TheSimpliFire
    Sep 1 at 18:24







  • 1




    Hmm... let's get @Cleo :D
    – user477343
    Sep 1 at 18:25










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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
4
down vote



accepted










Answer:




$$?=10.$$




$$$$



Explanation:



Suppose that




we have an equilateral triangle $Delta rm ABC$:

TRIANGLE




Then,




the number in the middle of the triangle (say, $rm M$) is created from the formula: $$rm M = (Itimes II) + III - 10.$$




$$$$



Examples:




  1. $$beginalign 33 &= (5times 7) + 8 - 10 \ &= 35 -2 \ &= 33;colorgreencheckmark tag1 endalign$$






  1. $$beginalign 63 &= (7times 9) + 10 - 10 \ &= 63 + 0 \ &= 63;colorgreencheckmarktag2endalign$$





And last but not least...




  1. $$beginalign132 &= (12times 11):+:? - 10 \ &= 132:+:? - 10 \ &= 122:+:? \ &Downarrow \ ?&=132-122 \ &= 10.tag3endalign$$







share|improve this answer


















  • 1




    (+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
    – TheSimpliFire
    Aug 26 at 13:09






  • 1




    @TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
    – user477343
    Aug 26 at 13:23







  • 1




    Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
    – TheSimpliFire
    Aug 26 at 13:54






  • 1




    Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
    – user477343
    Aug 26 at 21:50















up vote
4
down vote



accepted










Answer:




$$?=10.$$




$$$$



Explanation:



Suppose that




we have an equilateral triangle $Delta rm ABC$:

TRIANGLE




Then,




the number in the middle of the triangle (say, $rm M$) is created from the formula: $$rm M = (Itimes II) + III - 10.$$




$$$$



Examples:




  1. $$beginalign 33 &= (5times 7) + 8 - 10 \ &= 35 -2 \ &= 33;colorgreencheckmark tag1 endalign$$






  1. $$beginalign 63 &= (7times 9) + 10 - 10 \ &= 63 + 0 \ &= 63;colorgreencheckmarktag2endalign$$





And last but not least...




  1. $$beginalign132 &= (12times 11):+:? - 10 \ &= 132:+:? - 10 \ &= 122:+:? \ &Downarrow \ ?&=132-122 \ &= 10.tag3endalign$$







share|improve this answer


















  • 1




    (+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
    – TheSimpliFire
    Aug 26 at 13:09






  • 1




    @TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
    – user477343
    Aug 26 at 13:23







  • 1




    Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
    – TheSimpliFire
    Aug 26 at 13:54






  • 1




    Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
    – user477343
    Aug 26 at 21:50













up vote
4
down vote



accepted







up vote
4
down vote



accepted






Answer:




$$?=10.$$




$$$$



Explanation:



Suppose that




we have an equilateral triangle $Delta rm ABC$:

TRIANGLE




Then,




the number in the middle of the triangle (say, $rm M$) is created from the formula: $$rm M = (Itimes II) + III - 10.$$




$$$$



Examples:




  1. $$beginalign 33 &= (5times 7) + 8 - 10 \ &= 35 -2 \ &= 33;colorgreencheckmark tag1 endalign$$






  1. $$beginalign 63 &= (7times 9) + 10 - 10 \ &= 63 + 0 \ &= 63;colorgreencheckmarktag2endalign$$





And last but not least...




  1. $$beginalign132 &= (12times 11):+:? - 10 \ &= 132:+:? - 10 \ &= 122:+:? \ &Downarrow \ ?&=132-122 \ &= 10.tag3endalign$$







share|improve this answer














Answer:




$$?=10.$$




$$$$



Explanation:



Suppose that




we have an equilateral triangle $Delta rm ABC$:

TRIANGLE




Then,




the number in the middle of the triangle (say, $rm M$) is created from the formula: $$rm M = (Itimes II) + III - 10.$$




$$$$



Examples:




  1. $$beginalign 33 &= (5times 7) + 8 - 10 \ &= 35 -2 \ &= 33;colorgreencheckmark tag1 endalign$$






  1. $$beginalign 63 &= (7times 9) + 10 - 10 \ &= 63 + 0 \ &= 63;colorgreencheckmarktag2endalign$$





And last but not least...




  1. $$beginalign132 &= (12times 11):+:? - 10 \ &= 132:+:? - 10 \ &= 122:+:? \ &Downarrow \ ?&=132-122 \ &= 10.tag3endalign$$








share|improve this answer














share|improve this answer



share|improve this answer








edited Aug 26 at 8:16

























answered Aug 26 at 8:08









user477343

3,3531745




3,3531745







  • 1




    (+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
    – TheSimpliFire
    Aug 26 at 13:09






  • 1




    @TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
    – user477343
    Aug 26 at 13:23







  • 1




    Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
    – TheSimpliFire
    Aug 26 at 13:54






  • 1




    Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
    – user477343
    Aug 26 at 21:50













  • 1




    (+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
    – TheSimpliFire
    Aug 26 at 13:09






  • 1




    @TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
    – user477343
    Aug 26 at 13:23







  • 1




    Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
    – TheSimpliFire
    Aug 26 at 13:54






  • 1




    Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
    – user477343
    Aug 26 at 21:50








1




1




(+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
– TheSimpliFire
Aug 26 at 13:09




(+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
– TheSimpliFire
Aug 26 at 13:09




1




1




@TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
– user477343
Aug 26 at 13:23





@TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
– user477343
Aug 26 at 13:23





1




1




Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
– TheSimpliFire
Aug 26 at 13:54




Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
– TheSimpliFire
Aug 26 at 13:54




1




1




Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
– user477343
Aug 26 at 21:50





Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
– user477343
Aug 26 at 21:50











up vote
1
down vote













Alternative answer:




Pattern:




The fractional part of $fractextnumber in triangletextnumber left of triangle$ is less than $frac12$.





Hence the answer is




$10$




as




$$frac1327=18.85cdots,quadfrac1328=16.5,quadfrac1329=14.66cdots,quadfrac13210=13.2$$





Examples:




$$frac338=4.125,quadfrac6310=6.3$$








share|improve this answer






















  • Talking about $LaTeX$, go here!!
    – user477343
    Sep 1 at 5:09










  • @user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
    – TheSimpliFire
    Sep 1 at 18:22










  • Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
    – user477343
    Sep 1 at 18:24











  • @user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
    – TheSimpliFire
    Sep 1 at 18:24







  • 1




    Hmm... let's get @Cleo :D
    – user477343
    Sep 1 at 18:25














up vote
1
down vote













Alternative answer:




Pattern:




The fractional part of $fractextnumber in triangletextnumber left of triangle$ is less than $frac12$.





Hence the answer is




$10$




as




$$frac1327=18.85cdots,quadfrac1328=16.5,quadfrac1329=14.66cdots,quadfrac13210=13.2$$





Examples:




$$frac338=4.125,quadfrac6310=6.3$$








share|improve this answer






















  • Talking about $LaTeX$, go here!!
    – user477343
    Sep 1 at 5:09










  • @user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
    – TheSimpliFire
    Sep 1 at 18:22










  • Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
    – user477343
    Sep 1 at 18:24











  • @user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
    – TheSimpliFire
    Sep 1 at 18:24







  • 1




    Hmm... let's get @Cleo :D
    – user477343
    Sep 1 at 18:25












up vote
1
down vote










up vote
1
down vote









Alternative answer:




Pattern:




The fractional part of $fractextnumber in triangletextnumber left of triangle$ is less than $frac12$.





Hence the answer is




$10$




as




$$frac1327=18.85cdots,quadfrac1328=16.5,quadfrac1329=14.66cdots,quadfrac13210=13.2$$





Examples:




$$frac338=4.125,quadfrac6310=6.3$$








share|improve this answer














Alternative answer:




Pattern:




The fractional part of $fractextnumber in triangletextnumber left of triangle$ is less than $frac12$.





Hence the answer is




$10$




as




$$frac1327=18.85cdots,quadfrac1328=16.5,quadfrac1329=14.66cdots,quadfrac13210=13.2$$





Examples:




$$frac338=4.125,quadfrac6310=6.3$$









share|improve this answer














share|improve this answer



share|improve this answer








edited Aug 27 at 6:10

























answered Aug 26 at 13:20









TheSimpliFire

1,771324




1,771324











  • Talking about $LaTeX$, go here!!
    – user477343
    Sep 1 at 5:09










  • @user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
    – TheSimpliFire
    Sep 1 at 18:22










  • Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
    – user477343
    Sep 1 at 18:24











  • @user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
    – TheSimpliFire
    Sep 1 at 18:24







  • 1




    Hmm... let's get @Cleo :D
    – user477343
    Sep 1 at 18:25
















  • Talking about $LaTeX$, go here!!
    – user477343
    Sep 1 at 5:09










  • @user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
    – TheSimpliFire
    Sep 1 at 18:22










  • Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
    – user477343
    Sep 1 at 18:24











  • @user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
    – TheSimpliFire
    Sep 1 at 18:24







  • 1




    Hmm... let's get @Cleo :D
    – user477343
    Sep 1 at 18:25















Talking about $LaTeX$, go here!!
– user477343
Sep 1 at 5:09




Talking about $LaTeX$, go here!!
– user477343
Sep 1 at 5:09












@user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
– TheSimpliFire
Sep 1 at 18:22




@user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
– TheSimpliFire
Sep 1 at 18:22












Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
– user477343
Sep 1 at 18:24





Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
– user477343
Sep 1 at 18:24













@user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
– TheSimpliFire
Sep 1 at 18:24





@user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
– TheSimpliFire
Sep 1 at 18:24





1




1




Hmm... let's get @Cleo :D
– user477343
Sep 1 at 18:25




Hmm... let's get @Cleo :D
– user477343
Sep 1 at 18:25

















 

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