interesting math problem

br0wn

Senior member
Jun 22, 2000
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Two men, A and B, stand in front of a house.

B says he has 3 daughters, and the
sum of the daughters' age is the house's number.
The product of his daughters' age is 36.

A looks at the house's number, and said to B :
"Hmm, You don't give me enough information".

B says his oldest daughter has white hair.

How old is each of B's daughter ?

All the ages are INTEGER.

edit: rephrase some statements :)
 

visgf

Senior member
Dec 19, 1999
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Often, very young children have white hair, so my guess is that the youngest is 1-year-old. The other two can then be any other set of numbers that equal 36 when multiplied (like 6 and 6, 9 and 4, or 12 and 2). Another possiblility is that the youngest is 2, which means that the product of the older two equals 18 (like 3 and 6, or 2 and 9). Other possible answers are (3,3,4) or (3,6,2).

These are all possibilities, but the white hair cannot narrow it down very well, because the child might just be intensely blonde.
 

Capn

Platinum Member
Jun 27, 2000
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Doesn't seem like you give enough information unless you start making assumptions. Maybe his old daughter is 144 and he has two 6 month old daughters. And they're standing in front of house no. 145? hehehe
 

br0wn

Senior member
Jun 22, 2000
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There is an answer to this question and this was asked
during one of my interviews
(I solved it in about 5 minutes, and this was under pressure).
 

konichiwa

Lifer
Oct 9, 1999
15,077
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Well you want me to get you a medal?

No, make it a beret. ;) (In reference to another thread. You'll only get it if you read that one)
 

fragarific

Golden Member
Sep 29, 2000
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I remember something like this from years ago and i cant get it. And the hair line matters but not in a guessing way.
 

fragarific

Golden Member
Sep 29, 2000
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oh, i got it! B and A are acually the same person! He's going through a very rough time in his life now and the best thing we could do for him is console him.
 

Thanatopsis

Golden Member
Feb 7, 2000
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It doesn't make a shred of difference unless you know the house number. I know at least 2 people under 18 who have natural white hair. The daughters could be 1, 2, 18, or 1, 3, 12 or 2, 3, 6....

There is not enough info with what you stated.
 

bomb99

Golden Member
Oct 12, 1999
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two men standing in front of the house, man i guess those are gay guys and they dont' have any daughter:)
 

goog40

Diamond Member
Mar 16, 2000
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By the oldest daughter remark, you know his oldest aren't twins, so possibilites are:
1 1 36 = 38
1 2 18 = 21
1 3 12 = 16
1 4 9 = 14
2 2 9 = 13
2 3 6 = 11
3 3 4 = 10

The only other possible answer if you don't know he has an oldest daughter yet:
1 6 6 = 13

Since the man did not know the answer at first, there had to be 2 possibilities for his house number, so the man's daughters are ages 2, 2, and 9.


doh, too late:(