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All-Russian Olympiad Regional Round
1997 All-Russian Olympiad Regional Round
10.5
10.5
Part of
1997 All-Russian Olympiad Regional Round
Problems
(1)
set of 100 different numbers - All-Russian MO 1997 Regional (R4) 10.5
Source:
9/24/2024
Given a set of
100
100
100
different numbers such that if each number in the set is replaced by the sum of the others, the same set will be obtained. Prove that the product of numbers in a set is positive.
algebra