## the sum of the numerator and denominator of a fraction is 12vif 1 is added to numerator and 3 is to denominator the difference will become –

Question

the sum of the numerator and denominator of a fraction is 12vif 1 is added to numerator and 3 is to denominator the difference will become -4 find the fraction​

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1 month 2021-08-13T08:35:46+00:00 2 Answers 0 views 0

1. ## CorrectQuestion:–

The sum of the numerator and denominator of a fraction is 12. if 1 is added to numerator and 3 is to denominator then, the difference will become -4. Find the fraction.

## Solution:–

☯️ Let,

### The Denominator be y.

According To The Question,

From 1] and 2],

Now,

Now, Fraction :-

2. ### EXPLANATION.

Let the numerator of fraction be = x

Let the denominator of fraction be = y

Sum of the numerator and denominator of a

fraction = 12.

=> x + y = 12 …….(1)

If 1 is added to numerator and 3 is to denominator

The fraction will become = 4.

=> x + 1 / y + 3 = -4

=> x + 1 = -4 ( y + 3 )

=> x + 1 = -4y – 12

=> x + 4y = -13 ……(2)

From equation (1) and (2) we get,

=> -3y = 25

=> y = -25/3

put the value of y = -25/3 in equation (1)

=> x – 25/3 = 12

=> x = 12 + 25/3

=> x = 36 + 25 / 3

=> x = 61/3

### Therefore,

=> Fraction be = x/y = 61/3 / – 25/3 = -61/25.