If the sum of two numbers is 24 and the sum of their squares is 404, then the product of the numbers is Choose the most appropriate option:	A) 40	B) 44	C) 80	D) 86	E) 90

Rationale: "sol . let the numbers be x and y . then , ( x + y ) = 24 and x 2 + y 2 = 404 . now , 2 xy = ( x + y ) 2 - ( x 2 + y 2 ) = ( 24 ) 2 - 404 = 576 - 404 = 172 xy = 86 . answer d"
Answer: D