Igor and Ivan are chatting on a plane. Igor asks, "What are the ages of your three sons?". Ivan responds, "The product of the ages of my three sons are 36, while the sum of their ages is today's date. Igor thinks for a while, only to respond, "I don't yet have enough information to deduce the ages of your three sons." To that, Igor responds, "Ah yes. My oldest son has red hair.". Ivan says, satified, "Now, I know the exact ages of your sons." What are the ages of Igor's sons, and how did Ivan find out?
Enter your answers here:
Age of First Child:
Age of Second Child
Age of Third Child
Additional Notes Here: