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A batsman has a certain average runs for 11 innings. In the 12th innings he made a score of 90 runs and there by decreased his average by 5. What is his average after 12 innings?
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A batsman has a certain average runs for 11 innings. In the 12th innin...



Given Information:
- The batsman has a certain average runs for 11 innings.
- In the 12th innings, he made a score of 90 runs and decreased his average by 5.

Calculating the Average after 12 Innings:

Step 1: Calculation for 11 Innings
- Let the average runs for the first 11 innings be x.
- Total runs for 11 innings = 11x

Step 2: Calculation including the 12th Inning
- After the 12th innings, the total runs = 11x + 90
- The new average after 12 innings = Total runs / 12

Step 3: Applying the Given Condition
- The new average is 5 less than the previous average.
- Therefore, the new average = x - 5

Step 4: Solving the Equation
- Equating the two average calculations:
- x - 5 = (11x + 90) / 12
- 12x - 60 = 11x + 90
- x = 150

Conclusion:
- The average runs for the first 11 innings = 150 runs
- The average runs after 12 innings = 150 - 5 = 145 runs

Therefore, the batsman's average after 12 innings is 145 runs.
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A batsman has a certain average runs for 11 innings. In the 12th innings he made a score of 90 runs and there by decreased his average by 5. What is his average after 12 innings?
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