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Putnam
2018 Putnam
A1
Putnam 2018 A1
Putnam 2018 A1
Source:
December 2, 2018
Putnam
Putnam 2018
Problem Statement
Find all ordered pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
of positive integers for which
1
a
+
1
b
=
3
2018
.
\frac{1}{a} + \frac{1}{b} = \frac{3}{2018}.
a
1
+
b
1
=
2018
3
.
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