A Batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17 innings
36
Let the average of the batsman after 16 innings be x
Then the total runs he scored after 16 innings = 16x
Given that his average increases by 3 after he scores 87 runs in 17th inning
Total runs he scores after 17 innings can be written in two forms.
Average of the batsman after 17 innings = x+3
Then, 17(x + 3) = 16x + 87
17x + 51 = 16x + 87
x = 87 - 51 = 36