The average runs scored by a cricketer is 42 innings, is 30. 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 28. Calculate the maximum runs scored by him in an innings?

Correct Answer: 120

Explanation:

Let the minimum score = x
∴ Maximum score = x + 100
∴ x + (x + 100) = 30 x 42 - 40 x 28
⇒ 2x + 100 = 1260 - 1120 = 140
⇒ 2x = 140 - 100 = 40
⇒ x = 20
Hence, the maximum score = x + 100
= 20 + 100 = 120

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