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2009 Stanford Mathematics Tournament
14
14
Part of
2009 Stanford Mathematics Tournament
Problems
(1)
SMT 2009 Team #14
Source:
2/11/2012
Let
a
a
a
and
b
b
b
be integer solutions to
17
a
+
6
b
=
13
17a+6b=13
17
a
+
6
b
=
13
. What is the smallest possible positive value for
a
ā
b
a-b
a
ā
b
?