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Had Ajay scored 18 runs more in his 3rd innings and 4 runs more in his 7th innings,his average would have become 66 runs.But it is 64 runs.How many innings did he play?15101211

Question

Had Ajay scored 18 runs more in his 3rd innings and 4 runs more in his 7th innings,his average would have become 66 runs.But it is 64 runs.How many innings did he play?15101211

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Solution

The problem can be solved in the following steps:

Step 1: According to the problem, Ajay's average after his 7th inning would have been 66 runs if he had scored 18 runs more in his 3rd inning and 4 runs more in his 7th inning. This means that the total runs he would have scored after his 7th inning is 66 * 7 = 462 runs.

Step 2: However, in reality, he scored 22 runs less (18 runs in the 3rd inning and 4 runs in the 7th inning) than this. So, the actual total runs he scored after his 7th inning is 462 - 22 = 440 runs.

Step 3: The problem also states that his actual average is 64 runs. This means that the total runs he scored in all his innings is 64 * number of innings.

Step 4: We know that he scored 440 runs in his first 7 innings. So, the total runs he scored in the remaining innings is 64 * number of innings - 440.

Step 5: Since the average score per inning is 64, the number of innings he played after the 7th inning is (64 * number of innings - 440) / 64.

Step 6: Solving the above equation will give us the total number of innings he played.

Without the actual number of total innings played, we cannot solve this equation. The question seems to be incomplete.

This problem has been solved

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