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2
Argentina Cono Sur TST 2012. Problem 2
Argentina Cono Sur TST 2012. Problem 2
Source:
January 4, 2015
Problem Statement
Find all four-element sets of positive integers
{
w
,
x
,
y
,
z
}
\{w,x,y,z\}
{
w
,
x
,
y
,
z
}
such that
w
x
+
w
y
=
w
z
w^x+w^y=w^z
w
x
+
w
y
=
w
z
.
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