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2008 SDMO (Middle School)
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Part of
2008 SDMO (Middle School)
Problems
(1)
Reciprocal Diophantine
Source: 2008 SDMO Middle School Problem 1
8/24/2016
Find all ordered pairs of integers
(
m
,
n
)
\left(m,n\right)
(
m
,
n
)
such that
1
m
+
1
n
=
1
7
.
\frac{1}{m}+\frac{1}{n}=\frac{1}{7}.
m
1
+
n
1
=
7
1
.