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Select the correct answerA 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?Options1410201618

Question

Select the correct answerA 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?Options1410201618

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Solution

To solve this problem, we can use the concept of averages.

Step 1: Understand the problem The batsman has increased his average by 3 runs after scoring 58 runs in the 15th innings. We need to find his new average.

Step 2: Set up the equation Let's assume the average before the 15th innings was 'x'. So, the total runs scored in 14 innings would be 14x.

Step 3: Formulate the equation According to the problem, the batsman scored 58 runs in the 15th innings and this increased his average by 3. So, the total runs scored in 15 innings would be 14x + 58. And this would be equal to the new average (x + 3) times 15.

So, the equation is: 14x + 58 = 15(x + 3)

Step 4: Solve the equation Solving the equation, we get: 14x + 58 = 15x + 45 This simplifies to: x = 58 - 45 = 13

Step 5: Find the new average The new average is x + 3 = 13 + 3 = 16

So, the correct answer is 16.

This problem has been solved

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