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2005 Paraguay Mathematical Olympiad
4
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2005 Paraguay Mathematical Olympiad
Problems
(1)
t=(8a+ 1)/b, b<7, a,b,t pos. integers - OMAPA Paraguay 2005.4
Source:
9/14/2021
In the expression
t
=
8
a
+
1
b
t=\frac{8a+ 1}{b}
t
=
b
8
a
+
1
where
a
,
b
,
t
a, b, t
a
,
b
,
t
are positive integers, where
b
<
7
b <7
b
<
7
. Determine the values of
a
a
a
and
b
b
b
that allow to obtain
t
t
t
under the established conditions.
number theory