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Chile Junior Math Olympiad
2024 Chile Junior Math Olympiad
3
Stackexchange again....
Stackexchange again....
Source:
October 23, 2024
number theory
Chile
Problem Statement
Determine all triples
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
of positive integers such that:
a
+
b
+
c
=
a
b
c
.
a + b + c = abc.
a
+
b
+
c
=
ab
c
.
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