If the sum of two numbers is 12 and the sum of their squares is 124, then the product of the numbers is
Answers.
A) 10  B) 44  C) 80  D) 88  E) 90

Rationale: "sol . let the numbers be x and y . then , ( x + y ) = 12 and x 2 + y 2 = 124 . now , 2 xy = ( x + y ) 2 - ( x 2 + y 2 ) = ( 12 ) 2 - 124 = 144 - 124 = 20 xy = 10 . answer a"
Answer: A