If the sum of two numbers is 24 and the sum of their squares is 400, then the product of the numbers is Select.
A) 40 B) 44 C) 80 D) 88 E) 48

Rationale: "according to the given conditions x + y = 24 and x ^ 2 + y ^ 2 = 400 now ( x + y ) ^ 2 = x ^ 2 + y ^ 2 + 2 xy so 24 ^ 2 = 400 + 2 xy so xy = 176 / 2 = 88 answer : d"
Answer: D