If the sum of two numbers is 22 and the sum of their squares is 386, then the product of the numbers is  Select.
A) 40  B) 49  C) 80  D) 88  E) 90
Sol.   Let the numbers be x and y.   Then, (x+y) = 22 and x2 + y2 = 386.   Now, 2xy = (x+y)2 - (x2 + y2)   = (22)2 - 386= 484 - 386= 
<gadget id="calculator">484 - 386</gadget>
<output>98</output>
98   xy= 49.   Answer 49
<result>B</result>
If the sum of two numbers is 22 and the sum of their squares is 386, then the product of the numbers is