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A batsman scores 87 runs in the 17th innings and thus increases his average by 3. Find his average after the 17th innings.

1. 33
2. 39
3. 84
4. 90

Correct answer: 39

Solution

If the average before the 17th innings is x, then runs in 16 innings = 16x. After scoring 87, the new average becomes x + 3, so total runs = 17(x + 3). Equating totals gives 16x + 87 = 17x + 51, hence x = 36 and the new average is 39.

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