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Question

A Batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17 innings


A

36

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B

51

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C

39

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D

54

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Solution

The correct option is A

36


Let the average of the batsman after 16 innings be x

Then the total runs he scored after 16 innings = 16x

Given that his average increases by 3 after he scores 87 runs in 17th inning

Total runs he scores after 17 innings can be written in two forms.

Average of the batsman after 17 innings = x+3

Then, 17(x + 3) = 16x + 87

17x + 51 = 16x + 87

x = 87 - 51 = 36


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