TOT 1998 Autumn OS1 19 weights of mass 1,2,...,19, 9 iron,9 bronze, 1 gold
Source:
May 11, 2020
weighingscombinatorics
Problem Statement
Nineteen weights of mass gm, gm, gm, . . . , gm are given. Nine are made of iron, nine are of bronze and one is pure gold. It is known that the total mass of all the iron weights is gm more than the total mass of all the bronze ones. Find the mass of the gold weight . (V Proizvolov)