If 2 is added to the numerator of a fraction, it reduces to and if 1 is subtracted from the denominator, it reduces to . Find the fraction.

Question

Philoid · Accepted Answer

Let the fraction be x/y.

According to question -

On Cross multiplying, we get -

⇒ 2x + 4 = y.....(1)

and,

On Cross multiplying, we get -

3x = y - 1

⇒ 3x + 1 = y.....(2)

Comparing L.H.S of equation (1) and equation (2), we get -

2x + 4 = 3x + 1

⇒ x = 3

Substituting the value of x in equation (2), we get -

y = 10

Thus, the required fraction is 3/10.