A's score is 2 times of that of B and the sum of scores of A and Care 150. If the score of B is 36, then what is the score 2 of C?

Options

A. 72
B. 78
C. 150
D. 36

Answer

To solve the problem step by step, let's define the scores of A, B, and C based on the information given.

1. **Define the Variables:**
- Let the score of B be \( B = 36 \).
- According to the problem, A's score is twice that of B. Therefore, we can express A's score as:
\[ A = 2B \]

2. **Calculate A's Score:**
- Substitute the value of B into the equation for A:
\[ A = 2 \times 36 = 72 \]
- So, A's score is \( 72 \).

3. **Use the Sum of A and C:**
- We are also given that the sum of the scores of A and C is 150:
\[ A + C = 150 \]
- Substitute the value of A into this equation:
\[ 72 + C = 150 \]

4. **Solve for C's Score:**
- To find C, we rearrange the equation:
\[ C = 150 - 72 \]
- Calculate C:
\[ C = 78 \]

5. **Conclusion:**
- The score of C is \( 78 \).