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Difference between revisions of "2000 PMWC Problems/Problem T8"

(Created page with "==Problem== There are positive integers <math>k</math>, <math>n</math>, <math>m</math> such that <math>\frac{19}{20}<\frac{1}{k}+\frac{1}{n}+\frac{1}{m}<1</math>. What is the sma...")
 
m (→‎See Also)
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==See Also==
 
==See Also==
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Back to test: https://artofproblemsolving.com/wiki/index.php/2000_PMWC_Problems

Revision as of 10:31, 24 December 2019

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

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