The sum of two numbers is 21 and the sum of their squares is 527. Find the product of the numbers.
Choices.
A) 48
B) 41
C) 46
D) 43
E) 96

Rationale: let a and b be the two numbers ( a + b ) ^ 2 = a ^ 2 + 2 ab + b ^ 2 given ( a + b ) = 21 a ^ 2 + b ^ 2 = 527 so , 21 ^ 2 = 527 + 2 ab 2 ab = 527 - 441 2 ab = 86 ab = 43 ans d
Answer: D