Question

A fraction becomes 1/3 when 1 is subtracted from both the numerator and denominator. the sum of the

Answer 1

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

Let fraction is x/y

A fraction becomes 1/3 when 1 is subtracted from the numerator

So that

Cross multiply we get

3x -3 = y …(1)

and it becomes 1/ 4 when 8 is added to its denominator

so that

4x = y + 8

Plug the value of y from equation first we get

4x = 3x – 3 + 8

X = 5

Plug this value back in equation first we get

3*5 – 3 = y

15 – 3 = y

12 = y

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