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A batsman has an average of 30 runs in his
42 innings. The difference between his maximum
and minimum score is 100. If these two innings
are removed his average for innings comes down
to 28. What is his maximum score?
Most Upvoted Answer
A batsman has an average of 30 runs in his 42 innings. The difference ...
Analysis of the Batsman's Performance
- The batsman has played a total of 42 innings and has an average of 30 runs.
- This means he has scored a total of 1260 runs in 42 innings (30 runs x 42 innings).
- The difference between his maximum and minimum score is 100.

Effect of Removing Two Innings
- When the two innings with the highest and lowest scores are removed, his average for innings comes down to 28.
- This means that the total runs scored in the remaining 40 innings is 1120 (28 runs x 40 innings).

Determining the Maximum Score
- From the given information, we know that the difference between the maximum and minimum score is 100.
- Let's assume the maximum score is x. This means the minimum score is x - 100.
- We can set up the following equation: (1260 - x - (x - 100)) / 40 = 28
- Solving this equation, we get x = 80.

Conclusion
- Therefore, the maximum score of the batsman is 80 runs.
- By removing the two extreme scores, we were able to calculate the maximum score using the given averages and information provided.
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A batsman has an average of 30 runs in his 42 innings. The difference between his maximum and minimum score is 100. If these two innings are removed his average for innings comes down to 28. What is his maximum score?
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