- Peter, how old are your children?
- Well Thomas, there are three of them and the product of their ages is 36.
- That is not enough ...
- The sum of their ages is exactly the number of beers we have drunk today.
- That is still not enough.
- OK, the last thing is that my oldest child wears a green cap.
How old were each of Peter's children?
If the ages of his children are \( a \leq b \leq c \), then enter your answer as \(abc \).