Highest Score

Algebra Level 2

The highest score in an inning was 3/11 of the total and the next highest was 3/11 of the remainder. If the scores differed by 9, then the total score is _ _ _ .

Image credit: Wikipedia GENMEI Japan


The answer is 121.

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2 solutions

Megha Pardhi
Jul 31, 2014

highscore highscore

Let total score= X

Highest score = (3/11)X

Next highest = (3/11)[X-(3/11)X]

Given: (3/11)X-(3/11)[X-(3/11)X] = 9

=> X=121

Highest score = 33

Next highest score = 24

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