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The highest score of a batsman in an innings was 2/9 of the total score and the next highest score of another batsman was 2/9 of the remaining total score. These scores differ by 8 runs. What was the total score in the innings? 
  • a)
    152
  • b)
    162 
  • c)
    142
  • d)
    132 
Correct answer is option 'B'. Can you explain this answer?
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Given:
The highest score of a batsman in an innings was 2/9 of the total score.
The next highest score of another batsman was 2/9 of the remaining total score.
These scores differ by 8 runs.

To find:
The total score in the innings.

Solution:
Let the total score be x.
According to the given condition, the highest score of a batsman is 2/9 of x.
So, the remaining total score is (1 - 2/9) x = 7/9 x.
The next highest score of another batsman is 2/9 of 7/9 x = 14/81 x.
The difference between the two scores is 8, so we can write:
2/9 x - 14/81 x = 8
Multiplying both sides by 81, we get:
18x - 14x = 648
4x = 648
x = 162

Therefore, the total score in the innings was 162.

Answer: Option B.
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The highest score of a batsman in an innings was 2/9 of the total score and the next highest score of another batsman was 2/9 of the remaining total score. These scores differ by 8 runs. What was the total score in the innings?a)152b)162c)142d)132Correct answer is option 'B'. Can you explain this answer?
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