azureabstraction > out of the blue

A Puzzling

I encountered this on Making Light. It's a brilliant puzzle, and it actually does have an answer. I wasn't able to figure it out before I gave up and looked at the answer (which can be found on the linked page). I'd like to know if anyone can figure it out without looking.

Puzzle: Person x and y have the following conversation:

x: I forgot how old your three kids are.
y: The product of their ages is 36.
x: I still don’t know their ages.
y: The sum of their ages is the same as your house number.
x: I still don’t know their ages.
y: The oldest one has red hair.
x: Now I know their ages!

What are the kids’ ages?

Please, no posting the answer. If someone wants the answer, they can look it up on the other site. Just tell me when (and if) you get it, or when (and if) you give up.

EDIT: I made a page showing how to come by the answer. I think it's pretty well written. You can find it here: ( A Puzzling Resolved )

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