The average runs conceded by a bowler in 5 matches is 45 and 15 .75 in other 4 matches . What is the average runs conceded by the bowler in 9 matches ?

Options

A. 15
B. 32
C. 35
D. 53.5

Answer

To find the average runs conceded by the bowler in 9 matches, we can follow these steps:

### Step 1: Calculate the total runs conceded in the first 5 matches
The average runs conceded in the first 5 matches is given as 45.

To find the total runs conceded in these matches, we use the formula:
\[ \text{Total runs} = \text{Average} \times \text{Number of matches} \]
So,
\[ \text{Total runs in 5 matches} = 45 \times 5 = 225 \]

### Step 2: Calculate the total runs conceded in the next 4 matches
The average runs conceded in the next 4 matches is given as 15.75.

Using the same formula:
\[ \text{Total runs in 4 matches} = 15.75 \times 4 = 63 \]

### Step 3: Calculate the total runs conceded in all 9 matches
Now, we can find the total runs conceded in all 9 matches by adding the total runs from the first 5 matches and the total runs from the next 4 matches:
\[ \text{Total runs in 9 matches} = 225 + 63 = 288 \]

### Step 4: Calculate the average runs conceded in 9 matches
To find the average runs conceded in 9 matches, we divide the total runs by the total number of matches:
\[ \text{Average runs in 9 matches} = \frac{\text{Total runs in 9 matches}}{\text{Number of matches}} = \frac{288}{9} = 32 \]

### Final Answer
The average runs conceded by the bowler in 9 matches is **32**.

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