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National and Regional Contests
India Contests
Regional Mathematical Olympiad
1996 India Regional Mathematical Olympiad
2
2
Part of
1996 India Regional Mathematical Olympiad
Problems
(1)
Find all triples
Source: Indian RMO 1996 Problem 2
10/26/2005
Find all triples
a
,
b
,
c
a,b,c
a
,
b
,
c
of positive integers such that
(
1
+
1
a
)
(
1
+
1
b
)
(
1
+
1
c
)
=
3.
( 1 + \frac{1}{a} ) ( 1 + \frac{1}{b}) ( 1 + \frac{1}{c} ) = 3.
(
1
+
a
1
)
(
1
+
b
1
)
(
1
+
c
1
)
=
3.