The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is?  Select:  A) 23  B) 25  C) 27  D) 31  E) 35

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 . option a
Answer: A