A batsman makes a score of 58 runs in the 15th innings and thus increases his average by 3 runs. What is the average after 15th inning?Options1410162018
Question
A batsman makes a score of 58 runs in the 15th innings and thus increases his average by 3 runs. What is the average after 15th inning?Options1410162018
Solution
The problem can be solved using the concept of averages. Here are the steps:
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The batsman has increased his average by 3 runs after scoring 58 runs in the 15th inning. This means that the total runs scored in the 15 innings is 3 runs more than 15 times the average of the first 14 innings.
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Let's denote the average of the first 14 innings as 'x'. Therefore, the total runs scored in the first 14 innings is 14*x.
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In the 15th inning, the batsman scored 58 runs. So, the total runs scored in 15 innings is 14*x + 58.
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According to the problem, this total is also equal to 15 times the average of the first 14 innings plus 3. So, we have the equation: 14x + 58 = 15(x + 3).
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Solving this equation for 'x' gives us x = 13. This is the average of the first 14 innings.
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The average after the 15th inning is 3 more than this, which is 13 + 3 = 16.
So, the average after the 15th inning is 16.
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