Art of Problem Solving

AoPS Online

User:Temperal/Introductory Proportion

< User:Temperal

Revision as of 21:50, 19 September 2007 by Temperal (talk | contribs) (→‎Solution)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Suppose $\displaystyle \frac{1}{20}$ is either x or y in the following system:

$\begin{cases} xy=\frac{1}{k}\\ x=ky \end{cases}$

Find the possible values of k.

Solution

If $x=\frac{1} {20}$ , then $\displaystyle \frac{y} {20} = \frac{1} {k}$ .

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=User:Temperal/Introductory_Proportion&oldid=16338"

© 2024 AoPS Incorporated