The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
Pick
A) 23 B) 20 C) 12 D) 128 E) 171

Rationale: "let the numbers be x and y . then , xy = 120 and x 2 + y 2 = 289 . ( x + y ) 2 = x 2 + y 2 + 2 xy = 289 + ( 2 x 120 ) = 529 x + y = 529 = 23 . answer a"
Answer: A