1. Paris
    Joined
    01 Dec '09
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    15 Feb '10 16:05
    A postman rings at a door. A man opens the dorr and tells the postman :

    "Hi, I have 3 daughters. Multiplying their ages gives 36, and adding their ages is the number of the white house behind you."

    The postman looks at the house and says : "I don't see !"

    The man replies : "Oh, I forgot telling you : the eldest one is blond !"
    and the postman gives the three ages (in full years, idest 7, 13, ..).

    What are the three ages ?
  2. Standard memberwolfgang59
    howling mad
    In the den
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    15 Feb '10 18:49
    Originally posted by japy104
    A postman rings at a door. A man opens the dorr and tells the postman :

    "Hi, I have 3 daughters. Multiplying their ages gives 36, and adding their ages is the number of the white house behind you."

    The postman looks at the house and says : "I don't see !"

    The man replies : "Oh, I forgot telling you : the eldest one is blond !"
    and the postman gives the three ages (in full years, idest 7, 13, ..).

    What are the three ages ?
    I think I've got it!
  3. Subscriberjoe shmo
    Strange Egg
    podunk, PA
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    16 Feb '10 05:261 edit
    Originally posted by japy104
    A postman rings at a door. A man opens the dorr and tells the postman :

    "Hi, I have 3 daughters. Multiplying their ages gives 36, and adding their ages is the number of the white house behind you."

    The postman looks at the house and says : "I don't see !"

    The man replies : "Oh, I forgot telling you : the eldest one is blond !"
    and the postman gives the three ages (in full years, idest 7, 13, ..).

    What are the three ages ?
    Im going to take a shot and say 9,2,2.....

    I started by listing all factors of 36

    36,18,12,9,6,4,3,2,1

    since 36 is not a perfect cube rule out triplets

    I come up with 7 possibilties in no particular order for 3 factors of 36 multiplied to give 36

    9*4*1, 6*6*1 ,36*1*1 ,18*2*1 ,6*3*2 ,9*2*2 ,3*3*4

    which have coresponding sums

    14, 13,38,37,11,13,10

    Since the postman doesnt see the numbers on the white house the sum is irrelivant

    narrowing it down to possibilities with equal sums

    6*6*1 and 9*2*2

    only one of which has an eldest

    9,2,2
  4. Paris
    Joined
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    16 Feb '10 08:08
    You are right. With any other number on the house, the postman could have said the ages. Good. In fact, I saw the same puzzle posted months before in this list.
  5. Standard memberwolfgang59
    howling mad
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    16 Feb '10 08:45
    Originally posted by joe shmo
    Im going to take a shot and say 9,2,2.....

    I started by listing all factors of 36

    36,18,12,9,6,4,3,2,1

    since 36 is not a perfect cube rule out triplets

    I come up with 7 possibilties in no particular order for 3 factors of 36 multiplied to give 36

    9*4*1, 6*6*1 ,36*1*1 ,18*2*1 ,6*3*2 ,9*2*2 ,3*3*4

    which have coresponding sums

    14, 13,38,37 ...[text shortened]... to possibilities with equal sums

    6*6*1 and 9*2*2

    only one of which has an eldest

    9,2,2
    I figured if the children were 9,2,2 it would be obvious who was the eldest and that the man said his eldest was blonde to distinguish her from her brunette twin; hence 6, 6, 1

    Didnt twig that 13 was the only duplicate sum ... reasoned that the owner of the White House was superstitious therefore no number implied 13!
  6. Joined
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    23 Mar '10 16:28
    Originally posted by joe shmo
    narrowing it down to possibilities with equal sums
    6*6*1 and 9*2*2
    only one of which has an eldest
    9,2,2


    Actually 6,6,1 is also correct.
    One of the twins have to be the oldest, you know 😀
    And the oldest can be blond, just as the other twin.
  7. Joined
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    23 Mar '10 19:35
    Originally posted by tolder
    Presumably they are non-identical twins otherwise the statement would be unhelpful.
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