The average of runs of a cricket player in 10 innings was 33. How many runs must he make in his next innings so as to increase his average of runs by 3?
The average of runs of a cricket player in 10 innings was 33. How many runs must he make in his next innings so as to increase his average of runs by 3?
Explanation
- The player's average runs in 10 innings is 33, so the total runs scored by the player in 10 innings is:
33 x 10 = 330 runs
- To increase the average by 3, the new average will be:
33 + 3 = 36
- Since the player has already played 10 innings, the total number of innings now becomes 11 (including the next innings).
- Let x be the runs scored in the next innings. The new total runs will be:
330 + x
- The new average is 36, so we can set up the equation:
(330 + x) / 11 = 36
- Solve for x:
330 + x = 396
x = 66
So, the player needs to score 66 runs in the next innings to increase the average by 3.