Question

# If the denominator of a certain fraction increased by 1 and the numerator by 2.The fraction becomes equal to 5/8 and if the numerator and denominator are diminished by 1, the fraction becomes equal to 1⁄2. Find the fraction.

Hint:

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

Given, If the denominator of a certain fraction increased by 1 and the numerator by 2

The fraction becomes 5/8.

If the numerator and denominator are diminished by 1, the fraction becomes equal to 1/2.

## The correct answer is: 8/15

### Ans :- 8/15 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

Given, If the denominator of a certain fraction increased by 1 and the numerator by 2

The fraction becomes 5/8.

We get

— Eq1

If the numerator and denominator are diminished by 1, the fraction becomes equal to 1/2.

We get

— Eq2

Step 2:- eliminate the y and find x

Doing Eq1-5(Eq2) to eliminate y .

∴x = 8

Step 3:- find y by substituting the value of x in eq2.

∴y = 15

We know the fraction is x/y =

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