If you have a new account but are having problems posting or verifying your account, please email us on [email protected] for help. Thanks :)
Hello all! Please ensure that you are posting a new thread or question in the appropriate forum. The Feedback forum is overwhelmed with questions that are having to be moved elsewhere. If you need help to verify your account contact [email protected]


  • 29-10-2010 10:49am
    Registered Users Posts: 2

    Tom and Pat had not met in a number of years but on Tom’s visit to Pat’s new house the following conversation took place ;

    Tom : "I am in a great form to-day as I am celebrating my birthday I am 36 years of age"
    Pat : "Regarding my 3 children (yes you did not know I am a father) if you multiply the ages of my children you will get 36 also. What are their ages?"
    Tom : "Give me additional information to solve the ages of your children"
    Pat : "If you sum their 3 ages, the total equals the number on the house next door"
    Tom goes out and sees the number on the house next door and comes back into Pat’s house.
    Tom : "Still, cannot solve it
    I need an additional clue"
    Pat : "The girl taking piano lessons is the eldest of the three"
    Tom :"I can solve it now
    their ages are _, _ and _"
    Pat : "Correct"

    What are the ages of Pat’s three children?


  • Registered Users Posts: 2,534 ✭✭✭FruitLover

    Possible ages (after working out factors of 36):

    1, 2, 18 (unlikely age gap)

    1, 3, 12

    1, 4, 9

    2, 2, 9 (two-year-old twins)

    2, 3, 6

    3, 3, 4 (three-year-old twins)

    Given the above information, I don't think it's possible to definitively narrow ages down to one set.

  • Registered Users Posts: 3,282 ✭✭✭randombar

    Possible ages (after working out factors of 36 -> number in brackets is sum):

    1, 1, 36 -> (38)
    1, 2, 18 -> (21)
    1, 3, 12 -> (16)
    1, 4, 9 -> (14)
    1, 6, 6 -> (13)
    2, 2, 9 -> (13)
    2, 3, 6 -> (11)
    3, 3, 4 -> (10)

    He went outside and looked at the house number and still couldnt tell, that meant the ages could be summed in different ways to make the house number

    That rules them all out except for the ones that sum to 13, i.e. if the house was number 10 there was only one answer.

    He still didn't know it was 2,2,9 or 1,6,6 until he found out that the "eldest" daughter took piano, that ruled out 1,6,6 as that would mean there was no "eldest"

    Answer is 2,2,9