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.