2 brothers inherited n gold pieces of the total weight 2n
Source: 1975 German Federal - Bundeswettbewerb Mathematik - BWM - Round 2 p4
November 20, 2022
combinatorics
Problem Statement
Two brothers inherited gold pieces of the total weight . The weights of the pieces are integers, and the heaviest piece is not heavier than all the other pieces together. Show that if is even, the brother can divide the inheritance into two parts of equal weight.