Question

batsman in his 12 th inning makes a score of 63 runs and thereby increases his average score by 2. His average after the 12 th inning will be : (a) `65` (b) `39` (c) `41` (d) `53`

Answer 1

Let the average score of 12 innings be x.
Then , the average score of 11 innings = (x -2)
Total score of 12 innings = 12x.
Total score of 11 innings = 11 (x-2) = (11x -22)
Score of the 12th innings
= ( total score of 12 innings)- ( totl score of 11 innings )
= [12x -(11 x-22)] = (x+22)
x +22 = 63 ` Rightarrow` x =41
Hence, the average score after the 12th innings is 41.