Question 99257: A Censur taker approaches a house and asks the woman who answers the door, "How many children do you have, and what are their ages?"
The woman say i have 3 children the product of their ages is 36 the sum of the ages are equal to the adress of the house next door."
The censur taker walks next door comes back and says i need more information
the woman replies i have to go my oldest child is sleeping upstairs
the censur taker then says thank you i now have everything i need what are the ages of the 3 children
Answer by aaaaaaaa(138) (Show Source):
You can put this solution on YOUR website! The product of the ages is 36. Possibilities are:
2*2*3*3
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
If the censur taker walked to the next house and couldn't figure out what the ages were, this means it had to be one of the sums with more than one occurrance (only 13 in our case).
So we're left with 1, 6, 6 and 2, 2, 9. But the woman mentioned an oldest child. If the children's ages were 1, 6, 6 there would be no "oldest" child, so it must be 2, 9, 9.
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