If the sum of two positive integers is 22 and the difference of their squares is 44, what is the product of the two integers?  Choose the correct choice from the following answers
A) 108 B) 119 C) 120 D) 135 E) 143

Rationale: "let the 2 positive numbers x and y x + y = 22 - - 1 x ^ 2 - y ^ 2 = 44 = > ( x + y ) ( x - y ) = 44 - - 2 using equation 1 in 2 , we get = > x - y = 2 - - 3 solving equation 1 and 3 , we get x = 12 y = 10 product = 12 * 10 = 120 answer c"
Answer: C