Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2000 PMWC Problems/Problem T8

Revision as of 11:31, 24 December 2019 by Skyguy88 (talk | contribs) (→‎See Also)

Problem

There are positive integers $k$, $n$, $m$ such that $\frac{19}{20}<\frac{1}{k}+\frac{1}{n}+\frac{1}{m}<1$. What is the smallest possible value of $k+n+m$?

Solution

See Also

Back to test: https://artofproblemsolving.com/wiki/index.php/2000_PMWC_Problems

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2000_PMWC_Problems/Problem_T8&oldid=113354"