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The average runs scored by a cricketer is 42 innings, is 40. The difference between his maximum and minimum scores in an inning is 100. If these two innings are not taken into consideration, then the average score of remaining 40 inning is 38. Calculate the maximum runs scored by him in an innings ?
- a)125
- b)130
- c)110
- d)100
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The average runs scored by a cricketer is 42 innings, is 40. The diffe...
Let the minimum score = x
∴ Maximum score = x + 100
∴ x + (x + 100) = 40 x 42 – 40 x 38
⇒ 2x + 100 = 1680 – 1520 = 160
⇒ 2x = 160 – 100 = 60
⇒ x = 30
Maximum score = x + 100 = 30 + 100 = 130
∴ Maximum score = x + 100
∴ x + (x + 100) = 40 x 42 – 40 x 38
⇒ 2x + 100 = 1680 – 1520 = 160
⇒ 2x = 160 – 100 = 60
⇒ x = 30
Maximum score = x + 100 = 30 + 100 = 130
Most Upvoted Answer
The average runs scored by a cricketer is 42 innings, is 40. The diffe...
Given Information:
- Average runs scored in 42 innings = 40
- Difference between maximum and minimum score in an inning = 100
- Average score of remaining 40 innings (after excluding the two innings) = 38
Calculating Total Runs:
- Total runs scored in 42 innings = 40 * 42 = 1680
Calculating Total Runs Without the Two Innings:
- Total runs scored in 40 innings = 38 * 40 = 1520
Calculating Runs Scored in the Two Innings:
- Runs scored in the two innings = 1680 - 1520 = 160
Calculating Maximum Runs:
- Let the maximum score in an inning be x
- According to the given information, x - (x - 100) = 160
- Solving the equation, we get x = 130
Therefore, the maximum runs scored by the cricketer in an innings is 130. Hence, the correct answer is option B) 130.
- Average runs scored in 42 innings = 40
- Difference between maximum and minimum score in an inning = 100
- Average score of remaining 40 innings (after excluding the two innings) = 38
Calculating Total Runs:
- Total runs scored in 42 innings = 40 * 42 = 1680
Calculating Total Runs Without the Two Innings:
- Total runs scored in 40 innings = 38 * 40 = 1520
Calculating Runs Scored in the Two Innings:
- Runs scored in the two innings = 1680 - 1520 = 160
Calculating Maximum Runs:
- Let the maximum score in an inning be x
- According to the given information, x - (x - 100) = 160
- Solving the equation, we get x = 130
Therefore, the maximum runs scored by the cricketer in an innings is 130. Hence, the correct answer is option B) 130.
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The average runs scored by a cricketer is 42 innings, is 40. The difference between his maximum and minimum scores in an inning is 100. If these two innings are not taken into consideration, then the average score of remaining 40 inning is 38. Calculate the maximum runs scored by him in an innings ?a)125b)130c)110d)100e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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