The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is:
Pick:
A) 10
B) 46
C) 70
D) 90
E) 100
Let the numbers be x and (100 - x).   Then, x(100 - x) = 5 * 495   x2 - 100x + 2475 = 0   (x - 55)(x - 45) = 0   x = 55 or 45   The numbers are 45 and 55.   Required difference = 55 - 45= 
<gadget id="calculator">55 - 45</gadget>
<output>10</output>
10.   10NSWER:10
<result>A</result>
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is: