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A cricketer has a certain average of runs for his 6 innings. In the seventh inning he scores 100 runs, thereby increasing his average by 7 runs. His new average of runs is
- a)52
- b)54
- c)58
- d)45
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A cricketer has a certain average of runs for his 6 innings. In the se...
Let the average of 6 innings be x.
Then new average can be found by (6x + 100)/7 = x + 7
⇒ 6x + 100 = 7x + 49
⇒ x = 51
∴ New average = 51 + 7 = 58
Then new average can be found by (6x + 100)/7 = x + 7
⇒ 6x + 100 = 7x + 49
⇒ x = 51
∴ New average = 51 + 7 = 58
Most Upvoted Answer
A cricketer has a certain average of runs for his 6 innings. In the se...
To solve this problem, let's break it down step by step:
Given information:
- The cricketer has played 6 innings and has a certain average of runs.
- In the seventh inning, he scores 100 runs, increasing his average by 7 runs.
Step 1: Find the total runs scored in the first 6 innings.
Let's assume the average runs in the first 6 innings is 'x'.
So, the total runs scored in the first 6 innings would be 6x.
Step 2: Find the new average after the seventh inning.
After the seventh inning, the cricketer's total runs would be 6x + 100 (runs scored in the seventh inning).
The total number of innings played would be 7.
So, the new average is (6x + 100) / 7.
Step 3: Calculate the difference between the new average and the old average.
According to the given information, the new average is 7 runs more than the old average.
So, (6x + 100) / 7 = x + 7.
Step 4: Solve the equation to find the value of x.
Let's solve the equation:
6x + 100 = 7(x + 7)
6x + 100 = 7x + 49
x = 51
Step 5: Find the new average.
Now that we have the value of x, we can substitute it back into the equation for the new average:
new average = (6x + 100) / 7
new average = (6 * 51 + 100) / 7
new average = 306 + 100 / 7
new average = 406 / 7
new average ≈ 58
Therefore, the new average of runs for the cricketer is approximately 58 (option C).
Given information:
- The cricketer has played 6 innings and has a certain average of runs.
- In the seventh inning, he scores 100 runs, increasing his average by 7 runs.
Step 1: Find the total runs scored in the first 6 innings.
Let's assume the average runs in the first 6 innings is 'x'.
So, the total runs scored in the first 6 innings would be 6x.
Step 2: Find the new average after the seventh inning.
After the seventh inning, the cricketer's total runs would be 6x + 100 (runs scored in the seventh inning).
The total number of innings played would be 7.
So, the new average is (6x + 100) / 7.
Step 3: Calculate the difference between the new average and the old average.
According to the given information, the new average is 7 runs more than the old average.
So, (6x + 100) / 7 = x + 7.
Step 4: Solve the equation to find the value of x.
Let's solve the equation:
6x + 100 = 7(x + 7)
6x + 100 = 7x + 49
x = 51
Step 5: Find the new average.
Now that we have the value of x, we can substitute it back into the equation for the new average:
new average = (6x + 100) / 7
new average = (6 * 51 + 100) / 7
new average = 306 + 100 / 7
new average = 406 / 7
new average ≈ 58
Therefore, the new average of runs for the cricketer is approximately 58 (option C).
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A cricketer has a certain average of runs for his 6 innings. In the seventh inning he scores 100 runs, thereby increasing his average by 7 runs. His new average of runs isa)52b)54c)58d)45Correct answer is option 'C'. Can you explain this answer?
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