Question

A batsman in his 16th innings makes a score of 92 and thereby increases his average by 4. what is his average after 19 innings?

Answer 1

Total runs in 16 innings = 16x runs

Runs scored in 16th inning = 92 runs

Total runs scored in 15 innings = (16x-92) runs

Average after 15 innings = (16x-92)/15

Average after 16 innings is 4 more than average after 15 innings

so, x- (16x-92)/15 = 4
15x - (16x-92) = 15*4
15x-16x+92 = 60
-x = 60-92
-x = -32
x=32

Hence, average after 16 innings = 32