The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42. Then find the average for the last four matches.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the total runs scored in 10 matches.
The average score for 10 matches is given as 38.9 runs. To find the total runs, we multiply the average by the number of matches:

\[ \text{Total runs in 10 matches} = \text{Average} \times \text{Number of matches} = 38.9 \times 10 = 389 \]

### Step 2: Calculate the total runs scored in the first 6 matches.
The average score for the first 6 matches is given as 42 runs. Similarly, we find the total runs for these matches:

\[ \text{Total runs in first 6 matches} = 42 \times 6 = 252 \]

### Step 3: Calculate the total runs scored in the last 4 matches.
To find the total runs in the last 4 matches, we subtract the total runs of the first 6 matches from the total runs of all 10 matches:

\[ \text{Total runs in last 4 matches} = \text{Total runs in 10 matches} - \text{Total runs in first 6 matches} = 389 - 252 = 137 \]

### Step 4: Calculate the average score for the last 4 matches.
Finally, we find the average score for the last 4 matches by dividing the total runs in the last 4 matches by the number of matches:

\[ \text{Average for last 4 matches} = \frac{\text{Total runs in last 4 matches}}{4} = \frac{137}{4} = 34.25 \]

### Final Answer:
The average score for the last 4 matches is **34.25 runs**.

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