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Problem 3
Macedonia National Olympiad 2016 Problem 3
Macedonia National Olympiad 2016 Problem 3
Source: Macedonia National Olympiad 2016
April 9, 2016
number theory
Problem Statement
Solve the equation in the set of natural numbers
x
y
z
+
y
z
t
+
x
z
t
+
x
y
t
=
x
y
z
t
+
3
xyz+yzt+xzt+xyt = xyzt + 3
x
yz
+
yz
t
+
x
z
t
+
x
y
t
=
x
yz
t
+
3
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