Question

# In a fraction, if the numerator is increased by 2 and the denominator is decreased by 3, then the fraction becomes 1. Instead, if the numerator is decreased by 2 and denominator is increased by 3, then the fraction becomes 3/ 8. Find the fraction.

Hint:

### let the numerator of fraction be x and denominator of fraction is y

Given, if the numerator is increased by 2 and the denominator is decreased by 3, then the fraction becomes 1.

If the numerator is decreased by 2 and denominator is increased by 3, then the fraction becomes 3/ 8.

## The correct answer is: 8/13

### Ans :- 8/13 is the value of fraction .

Explanation :-

Step 1:- Frame the equation based on given conditions.

let the numerator of fraction be x and denominator of fraction is y

if the numerator is increased by 2 and the denominator is decreased by 3, then the fraction becomes 1

We get — Eq1

If the numerator is decreased by 2 and denominator is increased by 3, then the fraction becomes 3/ 8.

We get

— Eq2

Step 2:- eliminate the y and find x

Doing Eq2 -3(Eq1) to eliminate y .

∴x = 8

Step 3:- find y by substituting the value of x in eq1.

∴y = 13

We know the fraction is x/y =

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