Knowee
Questions
Features
Study Tools

A batsman makes a score of 58 runs in the 15th innings and thus increases his average by 3 runs. What is the average after 15th inning?Options1410162018

Question

A batsman makes a score of 58 runs in the 15th innings and thus increases his average by 3 runs. What is the average after 15th inning?

Options:

  • 14
  • 10
  • 16
  • 20
  • 18
🧐 Not the exact question you are looking for?Go ask a question

Solution

The problem can be solved using the concept of averages. Here are the steps:

  1. The batsman has increased his average by 3 runs after scoring 58 runs in the 15th inning. This means that the total runs scored in the 15 innings is 3 runs more than 15 times the average of the first 14 innings.

  2. Let's denote the average of the first 14 innings as 'x'. Therefore, the total runs scored in the first 14 innings is 14*x.

  3. In the 15th inning, the batsman scored 58 runs. So, the total runs scored in 15 innings is 14*x + 58.

  4. According to the problem, this total is also equal to 15 times the average of the first 14 innings plus 3. So, we have the equation: 14x + 58 = 15(x + 3).

  5. Solving this equation for 'x' gives us x = 13. This is the average of the first 14 innings.

  6. The average after the 15th inning is 3 more than this, which is 13 + 3 = 16.

So, the average after the 15th inning is 16.

This problem has been solved

Similar Questions

A cricketer has a certain average for 9 innings. In the tenth innings, the score is 100 runs, thereby increasing his average by 8 runs. His new average is:

Sachin has a certain average for 11 innings. In the 12th innings he scores 120 runs and thereby increases his average by 5 runs, his new average is:

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

The average of 25 results is 18. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?

A batsman scored 120 runs which included 7 boundaries and 6 sixes. What percent of his total score did he make by running between the wickets?

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.