Solving Lokesh and Taresh Age Problem

Let L be the present age of Lokesh and T be the present age of Taresh.

Setting Up the Equations

1. The sum of their present ages is 24 years:

   $L + T = 24 \quad (1)$

2. After 2 years, Lokesh's age will be \(L+2\) and Taresh's age will be \(T+2\).
3. According to the question, after 2 years, Lokesh's age will be three times Taresh's age:

   $L + 2 = 3(T + 2) \quad (2)$

Calculating Lokesh's Present Age

1. Simplify Equation (2):

   $L + 2 = 3T + 6$

   $L = 3T + 4 \quad (3)$

2. Substitute Equation (1) into Equation (3). From (1), \(T = 24 - L\). Substitute this into the simplified equation (3) derived from (2):

   $L + 2 = 3((24 - L) + 2)$

   $L + 2 = 3(26 - L)$

   $L + 2 = 78 - 3L$

3. Rearrange the terms to solve for L:

   $L + 3L = 78 - 2$

   $4L = 76$

4. Solve for L:

   $L = \frac{76}{4}$

   $L = 19$

Therefore, Lokesh's present age is 19 years.