Difference between revisions of "2023 IOQM/Problem 3"
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Let α and β be [[positive integers]] such that <cmath>\frac{16}{37}<\frac{\alpha}{\beta}<\frac{7}{16}</cmath> | Let α and β be [[positive integers]] such that <cmath>\frac{16}{37}<\frac{\alpha}{\beta}<\frac{7}{16}</cmath> | ||
Find the smallest possible value of β . | Find the smallest possible value of β . | ||
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| + | ==Solutions== | ||
| + | ===Solution 1=== | ||
Revision as of 16:24, 4 January 2024
Problem
Let α and β be positive integers such that ![\[\frac{16}{37}<\frac{\alpha}{\beta}<\frac{7}{16}\]](http://latex.artofproblemsolving.com/c/5/a/c5a37c4a86d6246fea22dacdffada434f87c22a5.png)
Find the smallest possible value of β .
