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The Golden Number Mathematics Tournament
TNO 2023
5
5
Part of
TNO 2023
Problems
(1)
Integer Triples with Equations
Source:
10/31/2024
Find all triples of integers
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
such that
x
ā
y
z
=
11
x - yz = 11
x
ā
yz
=
11
x
z
+
y
=
13
xz + y = 13
x
z
+
y
=
13
algebra
Chile