Neeraj is as younger to Gopal as he is older to Deepak. If the sum of the ages of Gopal & Deepak is 58 years. What is Neeraj's age ?

Answer

To solve the problem step by step, we will denote the ages of Neeraj, Gopal, and Deepak with variables and use the information given in the question.

### Step-by-Step Solution:

1. **Define Variables:**
Let:
- G = Age of Gopal
- D = Age of Deepak
- N = Age of Neeraj

2. **Understand the Relationship:**
According to the problem, Neeraj is as much younger than Gopal as he is older than Deepak. This can be expressed mathematically as:
\[ G - N = N - D \]
This equation states that the difference in age between Gopal and Neeraj is equal to the difference in age between Neeraj and Deepak.

3. **Rearranging the Equation:**
Rearranging the equation gives us:
\[ G + D = 2N \]
This means that the sum of the ages of Gopal and Deepak is twice the age of Neeraj.

4. **Use the Given Information:**
We know from the problem that the sum of the ages of Gopal and Deepak is 58 years:
\[ G + D = 58 \]

5. **Substituting the Values:**
From the equation \(G + D = 2N\) and \(G + D = 58\), we can set them equal to each other:
\[ 2N = 58 \]

6. **Solve for Neeraj's Age:**
To find Neeraj's age, divide both sides by 2:
\[ N = \frac{58}{2} = 29 \]

Thus, Neeraj's age is **29 years**.