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Math Help - No computer in the world can solve this.. how can I??? HELP!

  1. #1
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    No computer in the world can solve this.. how can I??? HELP!

    I thought this should be fairly easy and I hope I am posting in the proper forum but my brain is on vacation today and I am having a little trouble. Help please?

    Two men walk in the street. While the conversation, the first asks the second the age of his three daughters. The second answers like this :

    FIRST : The product of their ages gives 36.
    SECOND : Huh… I can’t find their ages!
    FIRST : The sum of their ages gives the number of this house’s door.
    SECOND : I still can’t find their ages…
    FIRST : The elder has blond hair.
    SECOND : Oh, now I see.

    What are the ages of the three daughters?


    oh I forgot to mention this was also on the paper we got... hmmm maybe its more difficult than I thought and could be why I am having so much trouble coming up with the answer!

    Good luck and get your friends here and try to answer! The only hint I can give is that no computer in the world is currently able to solve this problem on itself
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  2. #2
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    Quote Originally Posted by ravengirl View Post
    The only hint I can give is that no computer in the world is currently able to solve this problem on itself
    There is nothing amazing of a computer to fails to solve a problem. There are a number of problem that cannot be solved through the computer. CaptainBlank can probably tell you better for he claims to be an expert in computability theory (algorithms).

    For example, a computer cannot solve a quintic equatin.
    -------
    The product of the ages is 36 that means it must be:
    1,1,36---> SUM=38
    1,2,18---> SUM=21
    1,3,12---> SUM=16
    1,4,9----> SUM=14
    1,6,6----> SUM=13
    2,2,9----> SUM=13
    2,3,6----> SUM=11
    3,3,4----> SUM=10

    She first says "I do not know" and after she says "I know". This means she must have known what the house door was. But she cannot decide because each sum is unique each for 13. There are two ways of expressing it. Hence, when she said "The older one...." that gives the hint that she has an older thing. Thus, it cannot be 1,6,6 and must be 2,2,9
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  3. #3
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    You are truely amazing.. I never looked at it like that so thanks for the insight!
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