MathDB
2017 preRMO p15, remove 2 no from 1,2,...,n and have average 17

Source:

August 9, 2019
maximumAveragearithmetic meanalgebra

Problem Statement

Integers 1,2,3,...,n1, 2, 3, ... ,n, where n>2n > 2, are written on a board. Two numbers m,km, k such that 1<m<n,1<k<n1 < m < n, 1 < k < n are removed and the average of the remaining numbers is found to be 1717. What is the maximum sum of the two removed numbers?
Back to ProblemsView on AoPS