Some equations are solved on the basis of a certain system. On the basis, find out the correct answer from amongst the four alternatives for the unsolved equation: a = 4(369)9, b =6(246)4, C=7(?)3

Options

A. 303
B. 213
C. 413
D. 503

Explanation

To solve the equation \( C = 7(?)3 \) based on the pattern observed in the previous equations, we will follow the same steps used in equations \( A \) and \( B \).

### Step-by-Step Solution:

1. **Identify the Pattern**:
- In equation \( A \): \( a = 4(369)9 \)
- Here, \( 4 \times 9 = 36 \) and the number \( 9 \) is retained.
- In equation \( B \): \( b = 6(246)4 \)
- Here, \( 6 \times 4 = 24 \) and the number \( 4 \) is retained.

2. **Apply the Pattern to Equation \( C \)**:
- For equation \( C = 7(?)3 \):
- We need to find \( ? \) such that it follows the same pattern.
- We multiply \( 7 \) (the number outside the brackets) by \( 3 \) (the number at the end).
- Calculation: \( 7 \times 3 = 21 \).

3. **Conclusion**:
- Therefore, the value of \( ? \) is \( 21 \).

### Final Answer:
- The correct answer for \( C = 7(?)3 \) is \( 21 \).