Numerator and denominator of fraction has sum is . If is added in the denominator, the fraction becomes . Find the fraction so obtained.

Let the numerator be A and the denominator be B.

So, the required fraction is .

ATQ,

The sum of the numerator and denominator of the fraction is .

⇒

ATQ,

If is added in the denominator, the fraction becomes 

Use this equation which is given in the question, 

⇒

⇒

⇒

Hence, two equations are,

…… (a)

…….. (b)

Add (a) and (b), we will get

⇒

⇒

⇒

Use the obtained value of in (a), and find B

⇒

Therefore, the fraction is .