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?
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?
Solution
Sure, here is the step by step solution:
Step 1: The batsman increased his average by 3 runs in the 15th inning. This means that he scored 3 runs more than his previous average in each of the 15 innings. So, he scored 3*15 = 45 runs more than his previous 14 innings average.
Step 2: He scored 58 runs in the 15th inning. Subtract the extra 45 runs from this score, which gives 58 - 45 = 13. This means that his average after 14 innings was 13.
Step 3: Since his average increased by 3 runs in the 15th inning, his average after the 15th inning is 13 + 3 = 16.
So, the batsman's average after the 15th inning is 16 runs.
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