AoPS Wiki:Problem of the Day/August 7, 2011

< AoPS Wiki:Problem of the Day
Revision as of 12:56, 7 August 2011 by Kingofmath101 (talk | contribs) (August 7, 2011, Problem of the Day)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Find $x$, $y$, and $z$:

$\frac{1}{x + y} = \frac{1}{7}$

$\frac{2}{y + z} = \frac{2}{9}$

$\frac{3}{x + z} = \frac{3}{8}$

(Idea/inspiration: Art of Problem Solving's Intermediate Algebra/Morocco National Olympiad problem)