If the sum of two numbers is 16 and the sum of their squares is 200, then the product of the numbers is
Choose the correct choice
A) 40	B) 44	C) 80	D) 88	E) 28

Rationale: "according to the given conditions x + y = 16 and x ^ 2 + y ^ 2 = 200 now ( x + y ) ^ 2 = x ^ 2 + y ^ 2 + 2 xy so 16 ^ 2 = 200 + 2 xy so xy = 56 / 2 = 28 answer : e"
Answer: E