1.

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?

Answer»

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.

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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