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?
- 66
- 56
- 76
- None of these
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.
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