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. A batsman has an average of 53 runs in his
13 innings. The difference between his maximum
and minimum score is 114. If these two innings
are removed his average for 11 innings comes
down to 45. What is his maximum score?
Most Upvoted Answer
. A batsman has an average of 53 runs in his 13 innings. The differenc...
Analysis:

Given:
- Average runs in 13 innings = 53
- Difference between maximum and minimum score = 114
- Average runs in 11 innings after removing the two innings = 45

Solution:

Step 1: Finding Total Runs in 13 innings
- Total runs in 13 innings = 53 x 13 = 689 runs

Step 2: Finding Total Runs in 11 innings
- Total runs in 11 innings = 45 x 11 = 495 runs

Step 3: Finding Total Runs in the two innings
- Total runs in the two innings = 689 - 495 = 194 runs

Step 4: Finding Maximum Score
- Let the maximum score be x
- Minimum score = x - 114
- Total of two innings = x + (x - 114) = 2x - 114
- Total runs in the two innings = 194
- 2x - 114 = 194
- 2x = 308
- x = 154

Therefore, the maximum score of the batsman is 154 runs.
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. A batsman has an average of 53 runs in his 13 innings. The difference between his maximum and minimum score is 114. If these two innings are removed his average for 11 innings comes down to 45. What is his maximum score?
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