Problem: Two mathematicians meet on a plane.
"If I remember correctly, you have three sons”, says A. “What are their ages today?”.
“The product of their ages is thirty-six”, says B, “and the sum of their ages is exactly today’s date”.
“I am sorry, B”, A says after a minute, “but that doesn’t tell me the ages of your sons”.
“Oh, I forgot to tell you, my youngest son has red hair”.
“Ah, now it’s clear”, A says, “I now know exactly how old your three sons are”.
What are the ages of B’s sons ?
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3 comments:
2,3,and 6
A could not guess the answer after B told about the sum and product, ...
If this was the answer, A would have guessed it correctly immediately.
1,6,6
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