A was charged with the task of determining the ages of B's three children.
A asked B for a clue. B tells A the sum of their ages. A calculates and finds out that this information isn't enough. So, B tells A that the product of the children's age is 36. A starts calculating and later discovered that this information was not enough.
So B tells A that the oldest child plays the piano. Immediately, A told B the answer. What are the ages of B's three children.

Question

A was charged with the task of determining the ages of B's three children.
A asked B for a clue. B tells A the sum of their ages. A calculates and finds out that this information isn't enough. So, B tells A that the product of the children's age is 36. A starts calculating and later discovered that this information was not enough.
So B tells A that the oldest child plays the piano. Immediately, A told B the answer. What are the ages of B's three children.