Question

A fraction is such that the numerator is 4 less than the denominator. If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/5. Find the original fraction

Answer 1

Answer:

According to the question,

Let the denominator be x

Therefore, the numerator will be x - 4

If 1 is subtracted from the numerator and 3 is added to the denominator ; the fraction becomes 1 / 5

Therefore,

x - 4 - 1 1

----------- = -----

x + 3 5

Cross multiplication :

5x - 25 = x + 3

5x - x = 3 + 25

4x = 28

28

x = ----

4

x = 7

Therefore ;

Denominator = x = 7

And numerator = x - 4

= 7 - 4

= 3

Therefore ;

The fraction becomes 3

-----

7