If 1 is added to the denominator of fraction, the fraction

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If 1 is added to the denominator of fraction, the fraction becomes 1/2. If 1 is added to the numerator, the fraction becomes 1. The fraction is ?

1. 4/7
2. 5/9
3. 2/3
4. 10/11

Correct Option: C

Let the required fraction be x/y
Then, x/(y + 1) = 1/2
⇒ 2x - y = 1 ...(1)
(x + 1) / y = 1
⇒ x - y = -1 ...(2)
Solving Eq. (1) and (2)
We get x = 2, y = 3
∴ The fraction is 2/3