MathDB
Problems
Contests
National and Regional Contests
Greece Contests
Greece Junior Math Olympiad
2002 Greece Junior Math Olympiad
3
Triples
Triples
Source: Greece National Olympiad 2002 , Juniors , Problem 3.
November 18, 2005
Problem Statement
Determine all triples of positive integers
(
x
,
y
,
z
)
(x,y,z)
(
x
,
y
,
z
)
with
x
≤
y
≤
z
x \leq y \leq z
x
≤
y
≤
z
satisfying
x
y
+
y
z
+
z
x
−
x
y
z
=
2.
xy+yz+zx-xyz=2.
x
y
+
yz
+
z
x
−
x
yz
=
2.
Back to Problems
View on AoPS