If the sum of two positive integers is 26 and the difference of their squares is 52, what is the product of the two integers?	Choose the correct choice from the following answers: A) 108 B) 119 C) 128 D) 135 E) 168

Rationale: let the 2 positive numbers x and y x + y = 26 - - 1 x ^ 2 - y ^ 2 = 52 = > ( x + y ) ( x - y ) = 52 - - 2 using equation 1 in 2 , we get = > x - y = 2 - - 3 solving equation 1 and 3 , we get x = 14 y = 12 product = 14 * 12 = 168 answer e
Answer: E