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Q.
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
B.
46
C.
70
D.
90
View Answer
Correct choice: A
Explanation:
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 The numbers are 45 and 55 Required difference = (55-45) = 10
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