Virat Kohli has a certain average of runs for his 9 innings. He scores 120 runs in the tenth inning, thereby increasing his average by 10 runs. His new average of runs is:
Question
Virat Kohli has a certain average of runs for his 9 innings. He scores 120 runs in the tenth inning, thereby increasing his average by 10 runs. His new average of runs is:
Solution
To solve this problem, we need to understand that the average is the total number of runs scored divided by the number of innings played.
Step 1: Let's assume Virat Kohli's average after 9 innings was 'A' runs.
Step 2: So, the total runs he scored in these 9 innings would be 9*A.
Step 3: In the tenth inning, he scores 120 runs. So, the total runs after 10 innings become 9A + 120.
Step 4: This score increases his average by 10 runs. So, his new average is A + 10.
Step 5: We know that the average after 10 innings is (total runs after 10 innings) / 10. So, we can set up the equation (9A + 120) / 10 = A + 10.
Step 6: Solving this equation, we get 9A + 120 = 10A + 100.
Step 7: Simplifying, we find that A = 20.
Step 8: Therefore, his new average (A + 10) is 20 + 10 = 30 runs.
So, Virat Kohli's new average of runs after the tenth inning is 30.
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