What is the Mystery of the Three Sons' Ages?

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The discussion revolves around a classic age puzzle involving two men in a park. One man reveals that the product of his three sons' ages is 36, prompting the other man to seek more information. The second clue, the sum of their ages corresponding to a building number, still leaves ambiguity. The final clue about the oldest son having red hair leads to the conclusion that the ages must be 2, 2, and 9. This is because there are multiple combinations that yield a product of 36, but only the combination of 2, 2, and 9 provides a unique oldest child, distinguishing it from other combinations like 1, 6, and 6, which would imply twins. The discussion highlights the importance of logical reasoning and deduction in solving age-related puzzles.
Gypsy
I thought this was a good one. All my friends who I've shown it to (except for one) haven't been able to solve it.

Many years from now, two men are sitting in the county park. The
following is part of their discussion:

Man 1: Yes, I'm married and have three fine sons.
Man 2: That's wonderful! How old are they?
MaN 1: Well, The product of their ages is equal to 36.
Man 2: Hmm. That doesn't tell me enough. Give me another clue.
Man 1: Ok, the sum of their ages is the number on that building
across the street.
Man 2: A ha! I've almost got the answer, but I still need another
clue.
Man 1: Very well. The oldest one has red hair.
Man 2: I've got it!
 
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in white:
2 2 9 [/color]
 
a nice puzzle

answer in white font 2, 2, and 9 ... there are 6 possible age combinations, only two give ambiguous sums of ages (2, 2, and 9; 1, 6, and 6) and it must be one of these or else the house number would have solved the problem in step 2; only 2, 2, and 9 gives a single 'oldest' child as the alternative (1, 6 and 6 has tiwn boys as oldest
 
Or simply 2, 3 and 6 years old.
 
I make it 9, 2 and 2
 
At first, that last clue seemed like something of a red hairing. :redface:
 
echoSwe said:
Or simply 2, 3 and 6 years old.
What other integer triplet with product 36 has sum 11 and also has the two largest members being equal to each other ?

Ha ha...a red hairing, indeed ! :smile:
 

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