Did Grandpa count correctly? Another Grandpa Mystery
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Grandpa just returned from a long trip. He started telling me about his adventure in a wild place.
" I saw animals", he said. "Three different kind"
"Just for fun I counted their limbs"
"You mean legs" I interrupted
" Yeah whatever. There were 26 total animals of 3 different kind. And
I counted 26 legs for the 26 animals.
The total number of first kind of animal was 8 times the second kind
and 2 times the third kind.
Can you guess what kind of animals I saw and how many of each were
there?
And where was I?
By the way, there were no one legged or disabled animals there, just to
be clear
Did he count correctly?
riddle mathematics no-computers
add a comment |Â
up vote
5
down vote
favorite
Grandpa just returned from a long trip. He started telling me about his adventure in a wild place.
" I saw animals", he said. "Three different kind"
"Just for fun I counted their limbs"
"You mean legs" I interrupted
" Yeah whatever. There were 26 total animals of 3 different kind. And
I counted 26 legs for the 26 animals.
The total number of first kind of animal was 8 times the second kind
and 2 times the third kind.
Can you guess what kind of animals I saw and how many of each were
there?
And where was I?
By the way, there were no one legged or disabled animals there, just to
be clear
Did he count correctly?
riddle mathematics no-computers
add a comment |Â
up vote
5
down vote
favorite
up vote
5
down vote
favorite
Grandpa just returned from a long trip. He started telling me about his adventure in a wild place.
" I saw animals", he said. "Three different kind"
"Just for fun I counted their limbs"
"You mean legs" I interrupted
" Yeah whatever. There were 26 total animals of 3 different kind. And
I counted 26 legs for the 26 animals.
The total number of first kind of animal was 8 times the second kind
and 2 times the third kind.
Can you guess what kind of animals I saw and how many of each were
there?
And where was I?
By the way, there were no one legged or disabled animals there, just to
be clear
Did he count correctly?
riddle mathematics no-computers
Grandpa just returned from a long trip. He started telling me about his adventure in a wild place.
" I saw animals", he said. "Three different kind"
"Just for fun I counted their limbs"
"You mean legs" I interrupted
" Yeah whatever. There were 26 total animals of 3 different kind. And
I counted 26 legs for the 26 animals.
The total number of first kind of animal was 8 times the second kind
and 2 times the third kind.
Can you guess what kind of animals I saw and how many of each were
there?
And where was I?
By the way, there were no one legged or disabled animals there, just to
be clear
Did he count correctly?
riddle mathematics no-computers
riddle mathematics no-computers
asked Sep 30 at 23:52
DEEM
3,9921076
3,9921076
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2 Answers
2
active
oldest
votes
up vote
6
down vote
accepted
Well, I'd say Grandpa was in
Australia
And he saw
16, 8 and 2 animals of three types. Why?
assume the least number was 1. That makes the largest number 8 and the middle 4. That's 13, so we should double each number for 16, 8, 2.
Of which
the 16 can't have two legs (more than 26) and no one legged animals, so they have 0 legs (snakes?)
The 8 can't have 3 legs, because the 2 would have to be one legged, so the 8 have 2 legs/limbs. This could be a wingless bird like a Kiwi. (ok, it has wings but they are so small they are invisible and Grandpa wouldn't have seen them)
The 2 have 5 limbs, therefore. Which a Kangaroo is considered to have, counting it's tail (hence Australia)
1
Also, rot13[Ur fnj 26 navznyf, 16 bs juvpu jrer fanxrf. Vs gung qbrfa'g qrfpevor Nhfgenyvn V qba'g xabj jung qbrf.]
â jafe
Oct 1 at 11:06
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up vote
6
down vote
Ok, so he said he counted 26 animals
We have that
⢠number of type 1 = n
⢠number of type 2 = n/8
⢠number of type 3 = n/2
n + n/8 + n/2 = 26, therefore n = 16
so he saw:
⢠16 of type 1
⢠2 of type 2
⢠8 of type 3
But what were they?
He saw 16 type 1's, and saw no one legged animals; if type 1 had 2 legs, the minimum allowable, he'd have seen 32 limbs; too many already. So, type 1 has no legs, must be a snake or fish.
from that we have
(2*x)+(8*y) = 26. Logical numbers are 2 and 4; lets plug them in: 2*4 + 8*2 = 24 thats too low; but if we add 2 legs to either we blow it out...
but he originally said
limbs, so thats not necessarily in pairs... 2*5 + 8*2 is just right
Thus, he saw
16 snakes, fish or other zero-limbed creatures
2 five-limbed creatures. I'm going with starfish, but spider-monkeys with prehensile tails could be another contender
8 two-limbed creatures, this could be anything; flamingoes, chickens etc.
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
â crcroberts
Oct 1 at 0:18
Great Logic @crcroberts. But "Where was I?" was the question he asked.
â DEEM
Oct 1 at 11:46
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
6
down vote
accepted
Well, I'd say Grandpa was in
Australia
And he saw
16, 8 and 2 animals of three types. Why?
assume the least number was 1. That makes the largest number 8 and the middle 4. That's 13, so we should double each number for 16, 8, 2.
Of which
the 16 can't have two legs (more than 26) and no one legged animals, so they have 0 legs (snakes?)
The 8 can't have 3 legs, because the 2 would have to be one legged, so the 8 have 2 legs/limbs. This could be a wingless bird like a Kiwi. (ok, it has wings but they are so small they are invisible and Grandpa wouldn't have seen them)
The 2 have 5 limbs, therefore. Which a Kangaroo is considered to have, counting it's tail (hence Australia)
1
Also, rot13[Ur fnj 26 navznyf, 16 bs juvpu jrer fanxrf. Vs gung qbrfa'g qrfpevor Nhfgenyvn V qba'g xabj jung qbrf.]
â jafe
Oct 1 at 11:06
add a comment |Â
up vote
6
down vote
accepted
Well, I'd say Grandpa was in
Australia
And he saw
16, 8 and 2 animals of three types. Why?
assume the least number was 1. That makes the largest number 8 and the middle 4. That's 13, so we should double each number for 16, 8, 2.
Of which
the 16 can't have two legs (more than 26) and no one legged animals, so they have 0 legs (snakes?)
The 8 can't have 3 legs, because the 2 would have to be one legged, so the 8 have 2 legs/limbs. This could be a wingless bird like a Kiwi. (ok, it has wings but they are so small they are invisible and Grandpa wouldn't have seen them)
The 2 have 5 limbs, therefore. Which a Kangaroo is considered to have, counting it's tail (hence Australia)
1
Also, rot13[Ur fnj 26 navznyf, 16 bs juvpu jrer fanxrf. Vs gung qbrfa'g qrfpevor Nhfgenyvn V qba'g xabj jung qbrf.]
â jafe
Oct 1 at 11:06
add a comment |Â
up vote
6
down vote
accepted
up vote
6
down vote
accepted
Well, I'd say Grandpa was in
Australia
And he saw
16, 8 and 2 animals of three types. Why?
assume the least number was 1. That makes the largest number 8 and the middle 4. That's 13, so we should double each number for 16, 8, 2.
Of which
the 16 can't have two legs (more than 26) and no one legged animals, so they have 0 legs (snakes?)
The 8 can't have 3 legs, because the 2 would have to be one legged, so the 8 have 2 legs/limbs. This could be a wingless bird like a Kiwi. (ok, it has wings but they are so small they are invisible and Grandpa wouldn't have seen them)
The 2 have 5 limbs, therefore. Which a Kangaroo is considered to have, counting it's tail (hence Australia)
Well, I'd say Grandpa was in
Australia
And he saw
16, 8 and 2 animals of three types. Why?
assume the least number was 1. That makes the largest number 8 and the middle 4. That's 13, so we should double each number for 16, 8, 2.
Of which
the 16 can't have two legs (more than 26) and no one legged animals, so they have 0 legs (snakes?)
The 8 can't have 3 legs, because the 2 would have to be one legged, so the 8 have 2 legs/limbs. This could be a wingless bird like a Kiwi. (ok, it has wings but they are so small they are invisible and Grandpa wouldn't have seen them)
The 2 have 5 limbs, therefore. Which a Kangaroo is considered to have, counting it's tail (hence Australia)
edited Oct 1 at 0:31
answered Oct 1 at 0:07
SteveV
2,834216
2,834216
1
Also, rot13[Ur fnj 26 navznyf, 16 bs juvpu jrer fanxrf. Vs gung qbrfa'g qrfpevor Nhfgenyvn V qba'g xabj jung qbrf.]
â jafe
Oct 1 at 11:06
add a comment |Â
1
Also, rot13[Ur fnj 26 navznyf, 16 bs juvpu jrer fanxrf. Vs gung qbrfa'g qrfpevor Nhfgenyvn V qba'g xabj jung qbrf.]
â jafe
Oct 1 at 11:06
1
1
Also, rot13[Ur fnj 26 navznyf, 16 bs juvpu jrer fanxrf. Vs gung qbrfa'g qrfpevor Nhfgenyvn V qba'g xabj jung qbrf.]
â jafe
Oct 1 at 11:06
Also, rot13[Ur fnj 26 navznyf, 16 bs juvpu jrer fanxrf. Vs gung qbrfa'g qrfpevor Nhfgenyvn V qba'g xabj jung qbrf.]
â jafe
Oct 1 at 11:06
add a comment |Â
up vote
6
down vote
Ok, so he said he counted 26 animals
We have that
⢠number of type 1 = n
⢠number of type 2 = n/8
⢠number of type 3 = n/2
n + n/8 + n/2 = 26, therefore n = 16
so he saw:
⢠16 of type 1
⢠2 of type 2
⢠8 of type 3
But what were they?
He saw 16 type 1's, and saw no one legged animals; if type 1 had 2 legs, the minimum allowable, he'd have seen 32 limbs; too many already. So, type 1 has no legs, must be a snake or fish.
from that we have
(2*x)+(8*y) = 26. Logical numbers are 2 and 4; lets plug them in: 2*4 + 8*2 = 24 thats too low; but if we add 2 legs to either we blow it out...
but he originally said
limbs, so thats not necessarily in pairs... 2*5 + 8*2 is just right
Thus, he saw
16 snakes, fish or other zero-limbed creatures
2 five-limbed creatures. I'm going with starfish, but spider-monkeys with prehensile tails could be another contender
8 two-limbed creatures, this could be anything; flamingoes, chickens etc.
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
â crcroberts
Oct 1 at 0:18
Great Logic @crcroberts. But "Where was I?" was the question he asked.
â DEEM
Oct 1 at 11:46
add a comment |Â
up vote
6
down vote
Ok, so he said he counted 26 animals
We have that
⢠number of type 1 = n
⢠number of type 2 = n/8
⢠number of type 3 = n/2
n + n/8 + n/2 = 26, therefore n = 16
so he saw:
⢠16 of type 1
⢠2 of type 2
⢠8 of type 3
But what were they?
He saw 16 type 1's, and saw no one legged animals; if type 1 had 2 legs, the minimum allowable, he'd have seen 32 limbs; too many already. So, type 1 has no legs, must be a snake or fish.
from that we have
(2*x)+(8*y) = 26. Logical numbers are 2 and 4; lets plug them in: 2*4 + 8*2 = 24 thats too low; but if we add 2 legs to either we blow it out...
but he originally said
limbs, so thats not necessarily in pairs... 2*5 + 8*2 is just right
Thus, he saw
16 snakes, fish or other zero-limbed creatures
2 five-limbed creatures. I'm going with starfish, but spider-monkeys with prehensile tails could be another contender
8 two-limbed creatures, this could be anything; flamingoes, chickens etc.
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
â crcroberts
Oct 1 at 0:18
Great Logic @crcroberts. But "Where was I?" was the question he asked.
â DEEM
Oct 1 at 11:46
add a comment |Â
up vote
6
down vote
up vote
6
down vote
Ok, so he said he counted 26 animals
We have that
⢠number of type 1 = n
⢠number of type 2 = n/8
⢠number of type 3 = n/2
n + n/8 + n/2 = 26, therefore n = 16
so he saw:
⢠16 of type 1
⢠2 of type 2
⢠8 of type 3
But what were they?
He saw 16 type 1's, and saw no one legged animals; if type 1 had 2 legs, the minimum allowable, he'd have seen 32 limbs; too many already. So, type 1 has no legs, must be a snake or fish.
from that we have
(2*x)+(8*y) = 26. Logical numbers are 2 and 4; lets plug them in: 2*4 + 8*2 = 24 thats too low; but if we add 2 legs to either we blow it out...
but he originally said
limbs, so thats not necessarily in pairs... 2*5 + 8*2 is just right
Thus, he saw
16 snakes, fish or other zero-limbed creatures
2 five-limbed creatures. I'm going with starfish, but spider-monkeys with prehensile tails could be another contender
8 two-limbed creatures, this could be anything; flamingoes, chickens etc.
Ok, so he said he counted 26 animals
We have that
⢠number of type 1 = n
⢠number of type 2 = n/8
⢠number of type 3 = n/2
n + n/8 + n/2 = 26, therefore n = 16
so he saw:
⢠16 of type 1
⢠2 of type 2
⢠8 of type 3
But what were they?
He saw 16 type 1's, and saw no one legged animals; if type 1 had 2 legs, the minimum allowable, he'd have seen 32 limbs; too many already. So, type 1 has no legs, must be a snake or fish.
from that we have
(2*x)+(8*y) = 26. Logical numbers are 2 and 4; lets plug them in: 2*4 + 8*2 = 24 thats too low; but if we add 2 legs to either we blow it out...
but he originally said
limbs, so thats not necessarily in pairs... 2*5 + 8*2 is just right
Thus, he saw
16 snakes, fish or other zero-limbed creatures
2 five-limbed creatures. I'm going with starfish, but spider-monkeys with prehensile tails could be another contender
8 two-limbed creatures, this could be anything; flamingoes, chickens etc.
edited Oct 1 at 0:20
answered Oct 1 at 0:13
crcroberts
1,243916
1,243916
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
â crcroberts
Oct 1 at 0:18
Great Logic @crcroberts. But "Where was I?" was the question he asked.
â DEEM
Oct 1 at 11:46
add a comment |Â
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
â crcroberts
Oct 1 at 0:18
Great Logic @crcroberts. But "Where was I?" was the question he asked.
â DEEM
Oct 1 at 11:46
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
â crcroberts
Oct 1 at 0:18
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
â crcroberts
Oct 1 at 0:18
Great Logic @crcroberts. But "Where was I?" was the question he asked.
â DEEM
Oct 1 at 11:46
Great Logic @crcroberts. But "Where was I?" was the question he asked.
â DEEM
Oct 1 at 11:46
add a comment |Â
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