Question
A batsman scored 84 runs in his 12th innings, thereby
improving his average score per innings by 4 runs. What is the average score per innings of the batsman after the 12th innings?Solution
Let the average of the batman in the first 11 innings be x. The total run scored by the batsman in the first 11 innings = 11 x x = 11x The total run scored by the batsman in all 12 innings = 11x + 84 New average score after 12th innings = x + 4 According to the question, (11x +84)/12 = (x + 4) (11x +84) = (x + 4) x 12 11x +84 = 12x + 48 12x-11x = 84-48 x = 36 Now, x + 4 = 36 + 4=40 40 is the average score per innings of the batsman after the 12th innings.
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