MathDB
Problems
Contests
National and Regional Contests
India Contests
India National Olympiad
2005 India National Olympiad
2
2
Part of
2005 India National Olympiad
Problems
(1)
\frac{43}{197} < \frac { \alpha }{ \beta } < \frac{17}{77}
Source: INMO 2005 Problem 2
8/23/2005
Let
α
\alpha
α
and
β
\beta
β
be positive integers such that
43
197
<
α
β
<
17
77
\dfrac{43}{197} < \dfrac{ \alpha }{ \beta } < \dfrac{17}{77}
197
43
<
β
α
<
77
17
. Find the minimum possible value of
β
\beta
β
.
number theory unsolved
number theory