Amit is as much younger to Barkha as he is older to chaman. If the sum of the ages of Barkha and chaman is 48 years. What is the present age of Amit?

Options

A. 18 years
B. 36 years
C. 24 years
D. 28 years

Answer

To find Amit's present age, we can follow these steps:

### Step 1: Define the Variables
Let:
- \( A \) = Age of Amit
- \( B \) = Age of Barkha
- \( C \) = Age of Chaman

### Step 2: Set Up the Relationships
According to the problem:
1. Amit is as much younger than Barkha as he is older than Chaman. This can be expressed as:
\[ B - A = A - C \]
Rearranging gives us:
\[ B + C = 2A \]

2. We are also given that the sum of the ages of Barkha and Chaman is 48 years:
\[ B + C = 48 \]

### Step 3: Set Up the Equations
Now we have two equations:
1. \( B + C = 2A \) (from the relationship)
2. \( B + C = 48 \) (given)

### Step 4: Equate the Two Equations
Since both equations equal \( B + C \), we can set them equal to each other:
\[ 2A = 48 \]

### Step 5: Solve for Amit's Age
Now, divide both sides by 2:
\[ A = \frac{48}{2} = 24 \]

### Conclusion
Thus, the present age of Amit is **24 years**.

---