Q. 65.0( 1 Vote )

The denominator of a fraction is bigger than its numerator by 3. If 3 is subtracted from the numerator, and 2 added to the denominator, the value of fraction we get is 1/5. Find the original fraction.

Answer :

Let the numerator be x.

Since, the denominator is bigger than numerator by 3


Denominator = x + 3



If 3 is subtracted from the numerator, it becomes = x-3


And, 2 added to the denominator, it becomes = (x + 3) + 2


It is given that :-



On cross multiplying, we get,


5x – 15 = x + 5


4x = 20


x = 5



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