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
Let the numbers be x and (100-x).
Then,x100-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
Commented by at Dec 22, 2024 03:57 AM
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