A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
Explanation
Let's denote the batsman's average after 15 innings as x. Then, the total runs scored in 15 innings is 15x.
After scoring 64 runs in the 16th inning, the new average becomes x + 3.
The total runs scored in 16 innings is 15x + 64.
The new average is (15x + 64) / 16 = x + 3
Multiply both sides by 16:
15x + 64 = 16x + 48
Subtract 15x from both sides:
64 = x + 48
Subtract 48 from both sides:
16 = x
So, the average after 15 innings is 16.
The average after 16 innings is x + 3 = 16 + 3 = 19.