If the sum of two numbers is 20 and the sum of their squares is 200, then the product of the numbers is	Choose the correct choice from the following answers: A) 40 B) 44 C) 100 D) 88 E) 48

Rationale: "according to the given conditions x + y = 20 and x ^ 2 + y ^ 2 = 200 now ( x + y ) ^ 2 = x ^ 2 + y ^ 2 + 2 xy so 20 ^ 2 = 200 + 2 xy so xy = 200 / 2 = 100 answer : c"
Answer: C