If the sum of two numbers is 22 and the sum of their squares is 460, then the product of the numbers is Choose the correct choice from the following options:
A) 40 B) 44 C) 12 D) 88 E) 48

Rationale: "according to the given conditions x + y = 22 and x ^ 2 + y ^ 2 = 460 now ( x + y ) ^ 2 = x ^ 2 + y ^ 2 + 2 xy so 22 ^ 2 = 460 + 2 xy so xy = 24 / 2 = 12 answer : c"
Answer: C