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	Select the correct option:
A) 10
B) 46
C) 70
D) 90
E) None
Solution   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 x = 45.   Therefore, 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