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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.
