Question

The denominator of a rational number is greater than its numerator by 6. If numerator is increased by 5 and the denominator is decreased by 3 , the number obtained is 5/4. Find the original rational number.

Answer 1

I hope it helps
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Answer 2

Hey...!!!

Let the numerator be x
So,
X + 5 / x + 6 - 3 = 5/4
X + 5 / x + 3 = 5/4
4( x + 5) = 5( x + 3)
4x + 20 = 5x + 15
4x - 5x = 15 - 20
-x = - 5
X = 5

So, the original rational number is :-
5 / (5 + 6)
= 5/11

Hope it helps...!!!