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Problems
Contests
National and Regional Contests
Belgium Contests
Flanders Junior Olympiad
2004 Flanders Junior Olympiad
4
4
Part of
2004 Flanders Junior Olympiad
Problems
(1)
Very easy one.
Source:
4/28/2004
How many pairs of positive integers
(
a
,
b
)
(a, b)
(
a
,
b
)
satisfy
1
a
+
1
b
=
1
2004
\frac1a + \frac1b = \frac1{2004}
a
1
+
b
1
=
2004
1
?