I call my college roommate after a few years to catch up. We're both
math geeks. Our conversation goes:

Sean: You have three children now? How old?

Jeremy: The product of their ages is 36.

Sean: I need more information!

Jeremy: Add up their ages, you get our room number in college.

Sean: Yes, I remember our room number, but I still need more information.

Jeremy: My oldest wishes he had a twin.

Sean: Ah, got it.

What are Jeremy's chidrens' ages?