MathDB

Six numbers with many equal ratios

Source: Romania JBMO TST 2024 Day 1 P3

July 31, 2024

algebra

Problem Statement

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