VMEO IV P4/12 - Junior Division
Source: shinichiman
May 14, 2016
combinatorics
Problem Statement
Six mathematician sit around a round table. Each of them has a number and they do the following transformation: Each time, two mathematician sitting next to each other is chosen, they will add to their own number. Is it possible to make all the six numbers equal if the initial numbers are
a) 6,5,4,3,2,1
b) 7,5,3,2,1,4