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The average marks of a student in 8 subjects is 87. Of these, the highest marks are 2 more than the one next in value. If these two subjects are eliminated, the average marks of the remaining subjects are 85. What are the highest marks obtained by him?
  • a)
    94
  • b)
    91
  • c)
    89
  • d)
    96
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average marks of a student in 8 subjects is 87. Of these, the high...
Let highest marks be (x +2), So, next score = x Total of 8 subjects = 8 -87 = 696 So, As per question,   x = 92 So, highest marks = (x + 2) = 92 + 2 = 94
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The average marks of a student in 8 subjects is 87. Of these, the high...
Given:
- The average marks of a student in 8 subjects is 87.
- The highest marks are 2 more than the one next in value.
- If these two subjects are eliminated, the average marks of the remaining subjects are 85.

To find:
- The highest marks obtained by the student.

Solution:

Let's assume the highest marks obtained by the student in a subject as 'x'.

Step 1: Calculate the sum of marks in all 8 subjects.
- Average marks of a student in 8 subjects = 87
- Sum of marks in 8 subjects = 87 * 8 = 696

Step 2: Find the highest marks and the marks next in value.
- Let the highest marks be 'x' and the marks next in value be 'x-2'.
- So, the sum of these two marks = x + (x-2) = 2x - 2

Step 3: Calculate the sum of marks in the remaining 6 subjects.
- Sum of marks in the remaining 6 subjects = 696 - (2x - 2)

Step 4: Calculate the average marks of the remaining 6 subjects.
- Average marks of the remaining 6 subjects = 85
- Sum of marks in the remaining 6 subjects = 85 * 6 = 510

Step 5: Equate the sum of marks in the remaining 6 subjects calculated in Step 3 with the value obtained in Step 4.
- 696 - (2x - 2) = 510
- 2x - 2 = 696 - 510
- 2x - 2 = 186
- 2x = 186 + 2
- 2x = 188
- x = 188/2
- x = 94

Therefore, the highest marks obtained by the student is 94.
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The average marks of a student in 8 subjects is 87. Of these, the high...
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