  I was posed this problem and thought it was interesting enough for a post. So here you go. Try it, problems are soup for the mind. The Ages of My Sons "A mathematician and a philosopher were taking a walk and talking. The mathematician asked about the philosopher's sons.
The philosopher told her "they are well, all three of my son's celebrate their birthday this very day. Can you tell me how old each one is? " The mathematician says "sure, but I will need some more information. " "Ok” says her friend, “here are some hints.” The product of the ages of my 3 sons is 36. “Ok”, says the mathematician “but I will still need some more information.” “The sum of their ages is equal to the number of windows in that building.” Says the philosopher pointing to a nearby structure.
The mathematician thinks. Then she says, “Still, I need an additional hint to solve the problem.” “My oldest son has blue eyes” says the philosopher. The mathematician thinks, and after a moment says, “Oh, I have the answer.” And then tells her friend. Can you figure out the ages of the philosophers 3 sons?
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