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1961 AMC 12 Question 23

AMC12 · 1961 AMC 12

Question 23

Points $P$ and $Q$ are both in the line segment $AB$ and on the same side of its midpoint. $P$ divides $AB$ in the ratio $2:3,$ and $Q$ divides $AB$ in the ratio $3:4.$ If $PQ=2,$ then the length of $AB$ is:
  1. $60$
  2. $70$
  3. $75$
  4. $80$
  5. $85$