This is taken from a book, which of course I will not name ^.^ Yes, it's a problem. It's not the one I promised to post in the "what's the probability of another girl" thread, but it is fun. I'm saving that one I promised for later.
Joe knocks on some strange woman's door. He asks the stranger how many children she has and what their ages are.
Woman: I have three daughters, their ages are whole numbers, and the product of the ages is 36.
Joe: Tell me more.
Woman: I'd tell you the sum of their ages, but you'd still be stumped.
Joe: I'd tell you to screw yourself, but you wouldn't know how.
Woman: Fine, more info: my oldest daughter is the last living descendant of Jesus.
What are the ages of the three daughters?