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1969 AMC 12 Question 1

AMC12 · 1969 AMC 12

Question 1

When $x$ is added to both the numerator and the denominator of the fraction $\frac{a}{b},$ $a\ne b,$ $b\ne0,$ the value of the fraction is changed to $\frac{c}{d}.$ Then $x$ equals:
  1. $\dfrac1{c-d}$
  2. $\dfrac{ad-bc}{c-d}$
  3. $\dfrac{ad-bc}{c+d}$
  4. $\dfrac{bc-ad}{c-d}$
  5. $\dfrac{bc-ad}{c+d}$