In a sports competition
Source: May Olympiad 2016 L1 P2
March 14, 2021
number theorycombinatorics
Problem Statement
In a sports competition in which several tests are carried out, only the three athletes . In each event, the winner receives points, the second receives points, and the third receives points. There are no ties, and the numbers are distinct positive integers with greater than , and greater than .
At the end of the competition it turns out that has accumulated points, has accumulated points and has accumulated points. We know that athlete was second in the 100-meter event. Determine which of the three athletes he was second in the jumping event.