Select the correct answerIn a certain number of innings, the average runs scored by a batsman were 34. He scored 119 runs in the next innings and his average to 39. What is the total number of innings played by the batsman?Options1311151719
Question
Select the correct answerIn a certain number of innings, the average runs scored by a batsman were 34. He scored 119 runs in the next innings and his average to 39. What is the total number of innings played by the batsman?Options1311151719
Solution
To solve this problem, we need to understand that the average is the total runs scored divided by the number of innings.
Step 1: Let's assume the number of innings before the batsman scored 119 runs is 'x'. So, the total runs scored in these 'x' innings is 34x (since the average was 34).
Step 2: After scoring 119 runs in the next innings, the total runs become 34x + 119.
Step 3: The total number of innings now is x + 1 (since he played one more innings to score 119 runs).
Step 4: The new average is 39. So, we can set up the equation 39 = (34x + 119) / (x + 1).
Step 5: Solving this equation for 'x', we get x = 14.
So, the total number of innings played by the batsman is x + 1 = 14 + 1 = 15.
Therefore, the correct answer is 15.
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