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2006 AIME Problems
7
Sum 1000
Sum 1000
Source: AIME 2006 II, Problem 7
March 27, 2006
symmetry
AMC
easy AIME
AIME
Casework
Problem Statement
Find the number of ordered pairs of positive integers
(
a
,
b
)
(a,b)
(
a
,
b
)
such that
a
+
b
=
1000
a+b=1000
a
+
b
=
1000
and neither
a
a
a
nor
b
b
b
has a zero digit.
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