A fraction becomes ` (1)/(3)`, if 2 is added to both of its numerator and denominator. If 3 is added to both of its numerator and denominator then it becomes ` ( 2)/(5)`. Find the fraction.

Explanation

To solve the problem, we need to find the fraction based on the conditions given. Let's denote the numerator of the fraction as \( x \) and the denominator as \( y \).

### Step-by-Step Solution:

1. **Set Up the Equations:**
- According to the first condition, when 2 is added to both the numerator and the denominator, the fraction becomes \( \frac{1}{3} \):
\[
\frac{x + 2}{y + 2} = \frac{1}{3}
...