Another one?

Question

Paul and Steve are having the following conversation:

Paul: "How old are your three kids?"
Steve: "The product of their age is 36, and their sum is equal to the number of windows on that building."
Paul: "I need another clue."
Steve: "The eldest has blue eyes."

How old are Steve's children?

Answer 1

OK, you have to be pretty tricky to get this one. Let's list out all the possible combinations, and their sums:
1, 1, 36 (unlikely!!) - sum 38
1, 2, 18 - sum 21
1, 3, 12 - sum 16
1, 4, 9 - sum 14
1, 6, 6 - sum 13
2, 2, 9 - sum 13
2, 3, 6 - sum 11
3, 3, 4 - sum 10

Now, since the sum in itself wasn't enough to give Paul the answer, the sum must appear twice or more in this list. The only one that does is 13, so the two possibilities are:
1, 6, 6 or 2, 2, 9.
Steve's final statement implies that there is a single eldest child, so the ages must be 2, 2 and 9.