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1982 AMC 12 Question 5

AMC12 · 1982 AMC 12

Question 5

Two positive numbers $x$ and $y$ are in the ratio $a:b,$ where $0\lt a\lt b.$ If $x+y=c,$ then the smaller of $x$ and $y$ is
  1. $\frac{ac}{b}$
  2. $\frac{bc-ac}{b}$
  3. $\frac{ac}{a+b}$
  4. $\frac{bc}{a+b}$
  5. $\frac{ac}{b-a}$