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Austria Contests
Austrian MO National Competition
1989 Federal Competition For Advanced Students, P2
2
triples of integers
triples of integers
Source: Austria 1989
July 10, 2009
number theory proposed
number theory
Problem Statement
Find all triples
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
of integers with abc\equal{}1989 and a\plus{}b\minus{}c\equal{}89.
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