Navin and Santanu have a total of Rs 147 between them . Santanu and Avani have Rs 173 between them and Avani and Navin have Rs 150 between them . How much money does Navin have ?

Options

A. Rs 67
B. Rs 60
C. Rs 62
D. Rs 70

Answer

To find out how much money Navin has, we can set up the equations based on the information given in the problem.

1. **Set up the equations:**
- Let \( N \) be the amount Navin has.
- Let \( S \) be the amount Santanu has.
- Let \( A \) be the amount Avani has.

From the problem, we have the following equations:
\[ N + S = 147 \quad \text{(1)} \]
\[ S + A = 173 \quad \text{(2)} \]
\[ A + N = 150 \quad \text{(3)} \]

2. **Subtract equation (1) from equation (2):**
We will subtract equation (1) from equation (2) to eliminate \( S \):
\[ (S + A) - (N + S) = 173 - 147 \]
This simplifies to:
\[ A - N = 26 \quad \text{(4)} \]

3. **Subtract equation (3) from equation (4):**
Now we will subtract equation (4) from equation (3):
\[ (A + N) - (A - N) = 150 - 26 \]
This simplifies to:
\[ 2N = 124 \]

4. **Solve for \( N \):**
Now, we can solve for \( N \):
\[ N = \frac{124}{2} = 62 \]

Thus, Navin has **Rs 62**.