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The average score of a cricketer in three matches is 22 runs and in two other matches it is 17 runs. Find the average in all the five matches.
  • a)
    20.5
  • b)
    19.6
  • c)
    21
  • d)
    20
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The average score of a cricketer in three matches is 22 runs and in t...
Given data:
- The average score of a cricketer in three matches is 22 runs.
- The average score of a cricketer in two matches is 17 runs.

To find:
- Average score of the cricketer in all five matches.

Solution:
Let's assume that the total runs scored by the cricketer in three matches = x.
Therefore, the total runs scored by the cricketer in two matches = 34 (as the average score is 17 runs).
Hence, the total runs scored by the cricketer in all five matches = x + 34.

Now, we know that the average score in three matches is 22 runs.
Therefore, the total score in three matches = 22 x 3 = 66.
Similarly, the total score in two matches = 17 x 2 = 34.

Therefore, the total score in all five matches = 66 + 34 = 100.

Finally, the average score in all five matches = (total score in all five matches) / (number of matches) = 100 / 5 = 20.

Hence, the correct option is (D) 20.

Summary:
- Total runs scored in three matches = x
- Total runs scored in two matches = 34
- Total runs scored in all five matches = x + 34
- Total score in three matches = 66
- Total score in two matches = 34
- Total score in all five matches = 100
- Average score in all five matches = 20
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Community Answer
The average score of a cricketer in three matches is 22 runs and in t...
Total runs scored in 3 matches = 22 x3 = 66
next two matches runs =17 x2 = 34
now, total runs = 100
average of total five matches = 100/5 = 20
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