Question

If one is subtract from a numerator of the fraction is becomes 1/3 , if 8 added to a denominator of a fraction it becomes 1/4 then the fraction is?​

Answer 1

Given :-

If one is subtract from a numerator of the fraction is becomes 1/3 , if 8 added to a denominator of a fraction it becomes 1/4

To Find :-

Fraction

Solution :-

Let the fraction be x/y

x - 1/y = 1/3

3(x - 1) = y

3x - 3 = y

3x - y = 3 (1)

According to second case

x/y + 8 = 1/4

4(x) = y + 8

4x = y + 8

4x - y = 8 (2)

Now

3x - y - (4x - y) = 3 - 8

3x - y - 4x + y = -5

-x = -5

x = 5

Now

Using 1

3x - y = 3

3(5) - y = 3

15 - y = 3

- y = 3 - 15

- y = - 12

y = 12

Fraction = 5/12