A cricketer has a certain average for 9 innings. In the 10th innings he scores 100 runs, thus increasing his average by 8 runs. What is new average?

A cricketer has a certain average for 9 innings. In the 10th innings he scores 100 runs, thus increasing his average by 8 runs. What is new average? Correct Answer 28

If original average is A then new average is A + 8. ATQ,   9 x A + 100 = 10 x (A + 8) or,  9A + 100 = 10A + 80 or,  10A - 9A = 100 - 80 or,  A = 20 So, new average = A + 8 = 20 + 8 =  28 runs
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