If the sum of two numbers is 18 and the sum of their squares is 180, then the product of the numbers is Choose the correct option.
A) 72
B) 44
C) 80
D) 88
E) 48

Rationale: "according to the given conditions x + y = 18 and x ^ 2 + y ^ 2 = 180 now ( x + y ) ^ 2 = x ^ 2 + y ^ 2 + 2 xy so 18 ^ 2 = 180 + 2 xy so xy = 144 / 2 = 72 answer : a"
Answer: A