A man was n years old in the year n squared . How old was he in 1960?

Let the man's age be ( n ) and the year be ( n^2 ). We need to find ( n ) such that ( n^2 - n = 1960 ). Rearranging gives the equation ( n^2 - n - 1960 = 0 ). Solving this quadratic equation, we find that ( n = 45 ) (since ( n = -44 ) is not a valid age), meaning he was 45 years old in 2025 (since ( 45^2 = 2025 )). Therefore, he was 1960 - 2025 = -65 years old in 1960, indicating he had not yet been born.