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South Africa National Olympiad
2002 South africa National Olympiad
2
2
Part of
2002 South africa National Olympiad
Problems
(1)
Geometric progression with sum 111
Source: South Africa 2002
10/13/2005
Find all triples of natural numbers
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
such that
a
a
a
,
b
b
b
and
c
c
c
are in geometric progression and
a
+
b
+
c
=
111
a + b + c = 111
a
+
b
+
c
=
111
.
ratio
geometric sequence