The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then their difference is
A.10
FeedbackLet 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 The numbers are 45 and 55 Required difference = (55-45) = 10
B.46
C.70
D.90
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