Answer is 2, 2, 9

Clue 1: The product of ages is 36. So possible answers are 1 1 36, 1 2 18, 1 3 12, 1 4 9, 1 6 6, 2 2 9 and 2 3 6
Clue 2: The sum of ages is equal to neighbor’s house number. The sum of above is 38, 21, 16, 14, 13, 13, 11

After these 2 clues, the ages could not be determined if the product and sum of ages are same. So only 2 groups left – 1 6 6, 2 2 9.

Clue 3: The oldest child plays the piano. means 1 6 6 is eliminated and only 2 2 9 is left