Alok has three daughters. His friend Shyam wants to know the ages of his daughters. Alok gives him hints.

- The product of their ages is 72.
- The sum of their ages is equal to my house number.
- The oldest of the girls likes strawbarry ice-cream.

**Answer:**

**Product of ages is 72. Below are all possibilities to get 72 from product of three different ages:**

1 * 1 * 72 = 72

1 * 2 * 36 = 72

1 * 3 * 24 = 72

1 * 4 * 18 = 72

1 * 6 * 12 = 72

1 * 8 * 9 = 72

2 * 2 * 18 = 72

2 * 3 * 12 = 72

2 * 4 * 9 = 72

2 * 6 * 6 = 72

3 * 3 * 8 = 72

3 * 4 * 6 = 72

**Sum of the ages is given**

1 + 1 + 72 = 74

1 + 2 + 36 = 39

1 + 3 + 24 = 28

1 + 4 + 18 = 23

1 + 6 + 12 = 19

1 + 8 + 9 = 18

2 + 2 + 18 = 22

2 + 3 + 12 = 17

2 + 4 + 9 = 15

2 + 6 + 6 = 14

3 + 3 + 8 = 14

3 + 4 + 6 = 13

All sums are unique except 14. So the age sum must have been 14, otherwise Shyam would have guessed the ages from hint 1 only. So we have two possible combination to get sum 14

2 + 6 + 6 = 14

3 + 3 + 8 = 14

Alok has an oldest girl (not two!!). So the ages must be 3, 3 and 8.