The product of two numbers is 72 and the sum of their squares is 145. The sum of the numbers is:

Question: The product of two numbers is 72 and the sum of their squares is 145. The sum of the numbers is:Solution: let the two numbers be x, y xy = 72 x2 + y2 = 145⇒ (x + y)2 - 2 × 72 = 145⇒ (x + y)2 = 289∴ x + y = 17