The average of runs of a cricket player for 10 innings was 32. How many runs must he make in his next inning so as to increase his average by 4?

Understand the Problem

The question is asking how many runs a cricket player needs to score in the next inning to increase his average from 32 to 36 after 10 innings. To solve this, we need to calculate the total runs scored in the first 10 innings and then find the required runs to achieve the new average after 11 innings.

Answer

The player needs to score $76$ runs in the next inning.

Steps to Solve

Calculate Total Runs for Current Average

To find the total runs scored in the first 10 innings with an average of 32, we multiply the average by the number of innings:

$$ \text{Total Runs from 10 innings} = 32 \times 10 = 320 $$

Calculate Total Runs for New Average

Next, we need to find out how many runs the player needs to have a new average of 36 after 11 innings:

$$ \text{Total Runs needed for new average} = 36 \times 11 = 396 $$

Find Runs Required in the Next Inning

Now, we subtract the current total runs from the total runs needed for the new average to find out how many runs the player must score in the next inning:

$$ \text{Runs required in next inning} = 396 - 320 = 76 $$

The cricket player needs to score 76 runs in the next inning.

More Information

This calculation shows how averages work in terms of total runs and innings played. It is important for athletes to understand how their performance in one game can impact their overall statistics.

Tips

Confusing Total Runs and Averages: It's easy to mistakenly add or subtract averages instead of calculating total runs based on averages. Always remember to multiply the average by the number of innings to find the total runs.
Not Accounting for the Additional Inning: When calculating the new average, ensure that the additional inning is considered in the number of innings (in this case, 11 innings).

AI-generated content may contain errors. Please verify critical information

Thank you for voting!