The lcm of two numbers is 495 and their hcf is 5. If the sum of the numbers is 10 then their difference is?
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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
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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