A fraction become 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added in the denominator. Find the fraction.

Explanation

Let `x` is the numerator of the fraction and `y` is the denominator of the fraction.

Then, the fraction will be `x/y`.

Now, `(x-1)/y = 1/3 => 3x - 3 = y => 3x -y = 3->(1)`

`x/(y+8) = 1/4 => 4x = y+8 => 4x - y = 8->(2)`

Subtracting `(2) - (1)`

`=> 4x -y -3x+y = 8-3`

`=> x = 5`

Putting value of `x` in (1),

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