A man is 5 years older than his wife and the wife is not thrice as old as their daughter, who is 10 years old. How old was the man when his daughter was born

When the daughter was born, she made the man a father. Since the daughter is currently 10 years old, the man was 10 years younger when she was born. Therefore, the man was $\boxed{0}$ years old when his daughter was born.