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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 now obtained by him?

Correct Answer: 94
Let the highest marks obtained by the student be x
Then, second highest marks = x - 2
Sum of marks of these 2 subjects
= (87 × 8) - (85 × 6)
= 696 - 510
= 186
∴ x + (x - 2) = 186
⇒ 2x = 188
⇒ x = 94

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