Problem

Source: Romania JBMO TST 2024 Day 1 P3

Tags: algebra



Determine all positive integers $a,b,c,d,e,f$ satisfying the following condition: for any two of them, $x{}$ and $y{},$ two of the remaining numbers, $z{}$ and $t{},$ satisfy $x/y=z/t.$ Cristi Săvescu