The batting average for 20 innings of a cricketer is 25 runs. His highest score exceeds his lowest score by 86 runs. If these two innings are excluded, the average of the remaining 18 innings is 22runs. Find out the highest score of the player. A) 85 B) 90 C) 95 D) 100

1 Answer

Answer :

C)

Total runs scored by the player in 20 innings = 20*25

Total runs scored by the player in 18 innings after excluding two innings = 18 × 22

Sum of the scores of the excluded innings = 20 × 25 – 18× 22 = 104

Given that the scores of the excluded innings differ by 86. Hence let’s take

the highest score as x + 86 and lowest score as x

Now x + 86 + x = 104

=> 2x = 18

then x = 9

Highest score = 9+ 86 = 95

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