The average score of a cricketer in two matches is 27 runs and in three other matches is 32 runs. Then, his average score in all the five matches is

Options

A. 28
B. 29
C. 30
D. 31

Answer

To find the average score of the cricketer in all five matches, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information:**
- The average score in the first two matches is 27 runs.
- The average score in the next three matches is 32 runs.

2. **Calculate Total Runs in the First Two Matches:**
- Use the formula for average:
\[ \text{Average} = \frac{\text{Total Runs}}{\text{Number of Matches}} \]
- Rearranging gives:
\[ \text{Total Runs} = \text{Average} \times \text{Number of Matches} \]
- For the first two matches:
\[ \text{Total Runs in 2 Matches} = 27 \times 2 = 54 \text{ runs} \]

3. **Calculate Total Runs in the Next Three Matches:**
- Similarly, for the next three matches:
\[ \text{Total Runs in 3 Matches} = 32 \times 3 = 96 \text{ runs} \]

4. **Calculate Total Runs in All Five Matches:**
- Add the total runs from both sets of matches:
\[ \text{Total Runs in 5 Matches} = 54 + 96 = 150 \text{ runs} \]

5. **Calculate the Average Score in All Five Matches:**
- Now, use the average formula again:
\[ \text{Average in 5 Matches} = \frac{\text{Total Runs in 5 Matches}}{\text{Total Number of Matches}} \]
- Substitute the values:
\[ \text{Average in 5 Matches} = \frac{150}{5} = 30 \text{ runs} \]

### Final Answer:
The average score of the cricketer in all five matches is **30 runs**.