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The average runs scored by a batsman in 7 matches is 53 and in other 9 matches the average is 33. What is the average runs scored by the batsman in 16 matches?
- a)41.75
- b)44.25
- c)47
- d)49.175
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The average runs scored by a batsman in 7 matches is 53 and in other 9...
Sum of runs in 7 matches = 7 ⨯ 53 = 371
Sum of runs in 9 matches = 9 ⨯ 33 = 297
Total runs in 16 matches = 371 + 297 = 668
Avg. runs scored in 16 matches = 668/16 = 41.75
Sum of runs in 9 matches = 9 ⨯ 33 = 297
Total runs in 16 matches = 371 + 297 = 668
Avg. runs scored in 16 matches = 668/16 = 41.75
Most Upvoted Answer
The average runs scored by a batsman in 7 matches is 53 and in other 9...
To find the average runs scored by the batsman in 16 matches, we need to calculate the total runs scored in these matches and then divide it by the total number of matches.
Let's assume the total runs scored in the first 7 matches is X, and the total runs scored in the next 9 matches is Y.
We are given that the average runs scored in 7 matches is 53, so we can write the equation:
X/7 = 53
Solving this equation, we find that X = 371.
Similarly, we are given that the average runs scored in the next 9 matches is 33, so we can write the equation:
Y/9 = 33
Solving this equation, we find that Y = 297.
Now, to find the average runs scored in 16 matches, we need to calculate the total runs scored in these 16 matches, which is X + Y = 371 + 297 = 668.
And divide it by the total number of matches, which is 16.
So, the average runs scored in 16 matches is 668/16 = 41.75.
Therefore, the correct answer is option A) 41.75.
Let's assume the total runs scored in the first 7 matches is X, and the total runs scored in the next 9 matches is Y.
We are given that the average runs scored in 7 matches is 53, so we can write the equation:
X/7 = 53
Solving this equation, we find that X = 371.
Similarly, we are given that the average runs scored in the next 9 matches is 33, so we can write the equation:
Y/9 = 33
Solving this equation, we find that Y = 297.
Now, to find the average runs scored in 16 matches, we need to calculate the total runs scored in these 16 matches, which is X + Y = 371 + 297 = 668.
And divide it by the total number of matches, which is 16.
So, the average runs scored in 16 matches is 668/16 = 41.75.
Therefore, the correct answer is option A) 41.75.
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The average runs scored by a batsman in 7 matches is 53 and in other 9 matches the average is 33. What is the average runs scored by the batsman in 16 matches?a)41.75b)44.25c)47d)49.175Correct answer is option 'A'. Can you explain this answer?
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