Brain Teaser - Age Problem (Algebra + Logic)

Number Theory Level 3

Two old friends, Jack and Bill, meet after a long time.

Jack: Hey, how are you man?

Bill: Not bad, got married and I have three kids now.

Jack: That’s awesome. How old are they?

Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.

Jack: Cool… But I still don’t know.

Bill: My eldest kid just started taking piano lessons.

Jack: Oh now I get it.

What is the sum ages of Bill's kids?


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