Question:
Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is
Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is
Updated On: Aug 21, 2024
- 49
- 48
- 51
- 53
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The Correct Option is C
Solution and Explanation
Consider Gautam's score as 'g'. Let 'x' represent the average score of all 22 students, making the total scores of all 22 students equal to 22x.
From the initial condition: 22x - g = 21 × 62 ... (1)
Now, from the second condition: 22x - 82.5 = 21(x - 1) This simplifies to 22x - 21x = 82.5 - 21 Therefore, x = 61.5.
Substituting x = 61.5 into equation (1), we find g = 51.
From the initial condition: 22x - g = 21 × 62 ... (1)
Now, from the second condition: 22x - 82.5 = 21(x - 1) This simplifies to 22x - 21x = 82.5 - 21 Therefore, x = 61.5.
Substituting x = 61.5 into equation (1), we find g = 51.
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