MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AIME Problems
2007 AIME Problems
2
Ordered Triples
Ordered Triples
Source: AIME II 2007 #2
March 29, 2007
AMC
AIME
AIME II
Problem Statement
Find the number of ordered triple
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
where
a
a
a
,
b
b
b
, and
c
c
c
are positive integers,
a
a
a
is a factor of
b
b
b
,
a
a
a
is a factor of
c
c
c
, and
a
+
b
+
c
=
100
a+b+c=100
a
+
b
+
c
=
100
.
Back to Problems
View on AoPS