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A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?

39
35
42
40.5
Explanation:

Let the average after 17 innings = $x$

Total runs scored in 17 innings = 17$x$

Average after 16 innings = $\left(x-3\right)$

Total runs scored in 16 innings = 16$\left(x-3\right)$

Total runs scored in 16 innings + 87 = Total runs scored in 17 innings

=> 16 $ \left(x-3 \right) + 87 = 17x$

=> 16x - 48 + 87 = 17$x$

=>$x$ = 39

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