Multiple Choice Questions

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 dif...........

Quantitative Aptitude (CPO) LCM, HCF

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,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

Hence, option 1 is the correct answer.

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