Avg scove of a player after 48-inning is 48, in 49th inning he Scove. 97 runs. how much he should 3. rawad increases Score in his 50th-inning to his aug scove by 2 run

Let's break down the problem step by step.

1. **Initial Situation:**
   - After 48 innings, the average score of the player is 48 runs.
   - Therefore, the total score after 48 innings is:
     \[
     \text{Total score after 48 innings} = 48 \times 48 = 2304 \text{ runs}
     \]
   
2. **After the 49th Inning:**
   - The player scores 97 runs in the 49th inning.
   - The total score after 49 innings becomes:
     \[
     \text{Total score after 49 innings} = 2304 + 97 = 2401 \text{ runs}
     \]
   - The average score after 49 innings is:
     \[
     \text{Average after 49 innings} = \frac{2401}{49} = 49 \text{ runs}
     \]

3. **Requirement for the 50th Inning:**
   - We want to find out how much the player should score in his 50th inning to increase his average score by 2 runs, making it 49 + 2 = 51 runs after 50 innings.
   - The total score required after 50 innings to achieve an average of 51 runs is:
     \[
     \text{Total score required} = 50 \times 51 = 2550 \text{ runs}
     \]
   - The score required in the 50th inning is:
     \[
     \text{Required score in 50th inning} = 2550 - 2401 = 149 \text{ runs}
     \]

So, the player should score **149 runs** in his 50th inning to increase his average score by 2 runs.

Would you like more details or have any questions? Here are some related questions you might find useful:

1. What if the player wanted to increase his average by 3 runs instead of 2?
2. How does the required score change if his average after 48 innings was 50 instead of 48?
3. What would be his average if he scores less than 149 runs in his 50th inning?
4. How is the average score calculated if we know the scores for each inning?
5. What if the player scores a certain number of runs below his current average in the 50th inning?

**Tip:** To increase the average significantly, a player needs to score well above the current average in the next few innings.

Learn how to calculate the score increase needed for a player from their 48th to 50th innings. This problem involves arithmetic and average calculation. Suitable for students in Grades 6-8.

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