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1990 Swedish Mathematical Competition
6
117/158 > m/n > 97/131 , n <= 500
117/158 > m/n > 97/131 , n <= 500
Source: 1990 Swedish Mathematical Competition p6
April 2, 2021
algebra
number theory
Problem Statement
Find all positive integers
m
,
n
m, n
m
,
n
such that
117
158
>
m
n
>
97
131
\frac{117}{158} > \frac{m}{n} > \frac{97}{131}
158
117
>
n
m
>
131
97
and
n
≤
500
n \le 500
n
≤
500
.
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