A man has three children. They are not triplets. By a remarkable coincidence, however, they were all born on the same day in different years. By another remarkable coincidence, their ages right now form a Pythagorean triple. The oldest child is nine years older than the youngest, and the middle child is two years younger than the oldest. 1. How old is the oldest?

2. How old is the middle child?

3. How old is the youngest