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1992 AMC 12 Question 16

AMC12 · 1992 AMC 12

Question 16

If $$
\frac{y}{x-z}=\frac{x+y}{z}=\frac{x}{y}
$$ for three positive numbers $x,$ $y,$ and $z,$ all different, then $\frac{x}{y}=$
  1. $\frac12$
  2. $\frac35$
  3. $\frac23$
  4. $\frac53$
  5. $2$