Art of Problem Solving

2023 IOQM/Problem 3: Difference between revisions

Sansgankrsngupta (talk | contribs)
Created page with "==Problem== Let α and β be positive integers such that <cmath>\frac{16}{37}\leq\frac{\alpha}{\beta}\leq\frac{7}{16}</cmath> Find the smallest possible value of β ."
 
Sansgankrsngupta (talk | contribs)
Line 1: Line 1:
==Problem==
==Problem==


Let α and β be [[positive integers]] such that <cmath>\frac{16}{37}\leq\frac{\alpha}{\beta}\leq\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 .

Revision as of 20:26, 2 October 2023

Problem

Let α and β be positive integers such that \[\frac{16}{37}<\frac{\alpha}{\beta}<\frac{7}{16}\] Find the smallest possible value of β .