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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.

Mathematics
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