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Integers \(1,2,3,\cdots,n \),where \( n > 2 \) are written on board.Two numbers \(m,k\) such that \(1<m<n\),\(1<k<n\) are removed and the average of the remaining numbers is found to be 17.What is the maximum sum of the two removed numbers?

Note by Vilakshan Gupta 2 months ago

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