If the difference of two numbers is 3 and the difference of their square is 39, then the larger number is:
Pick
A) 9 B) 2 C) 12 D) 14 E) 8

Rationale: let the numbers be x and y then x 2 - y 2 = 39 and x - y = 3 we get x + y = 13 solving x - y = 3 , x + y = 13 x = 8 , y = 5 larger number 8 answer e
Answer: E