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

Let’s start by using the formula for the average of a set of numbers:

Average = (Sum of the numbers) / (Number of the numbers)

We can use this formula to find the sum of the runs the player scored in the 10 innings:

Sum of runs = Average x Number of innings = 32 x 10 = 320

Now let’s assume the player scores x runs in his next innings. Then his total runs for 11 innings will be:

Total runs = Sum of runs + x = 320 + x

His new average will be 4 more than his current average, so we have:

New average = Current average + 4 = 32 + 4 = 36

Using the formula for the average again, we can set up the equation:

New average = (Total runs) / (Number of innings)

Substituting the values we found above, we get:

36 = (320 + x) / 11

Solving for x, we get:

x = 396 – 320

x = 76

Therefore, the player needs to score 76 runs in his next innings to increase his average of runs by 4.

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