A batsman has certain average of runs in 11innings. He made 90 runs in...
Given Information:
- The batsman has a certain average of runs in 11 innings.
- He made 90 runs in the 12th inning.
- As a result, the average of his runs decreased by 5.
Calculating the Average After 12th Inning:
- Let the batsman's average before the 12th inning be x.
- Total runs before the 12th inning = 11x
- Total runs after the 12th inning = 11x + 90
- New average after the 12th inning = (11x + 90) / 12
Using the Given Information:
- According to the question, the new average is 5 less than the previous average.
- Therefore, we can write the equation as:
- (11x + 90) / 12 = x - 5
Solving the Equation:
- Solving the equation, we get:
- 11x + 90 = 12x - 60
- 90 + 60 = 12x - 11x
- 150 = x
Calculating the Average After 12th Inning:
- Substituting the value of x back into the new average equation:
- New average = (11*150 + 90) / 12
- New average = (1650 + 90) / 12
- New average = 1740 / 12
- New average = 145
Conclusion:
- The average of the batsman's runs after the 12th inning is 145.