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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, the total score was?

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Explanation

  • The highest score in an inning was 3/11 of the total.
  • The next highest was 3/11 of the remainder.
  • Difference in scores is 9.

We shall assume the total score “y” and highest becomes “3y/11” and reminder will be (y – 3y/11) “8y/11” and 3/11 of the reminder would be “24y/121” and the difference in score is;

3y/11 – 24y/121 = 9

Through this equation; we can easily figure out the total score.

To Find

Total score = ?

Solution

Let suppose

Total score = y

Highest score in inning = 3y/11

Remainder = y – 3y/11 = 8y/11

Next highest = 8y/11 x 3/11 = 24y/121

Difference: 3y/11 – 24y/121 = 9

33y – 24y = 1089

9y = 1089

y = 121 answer

Conclusion

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, the total score was 121.

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