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2002 AMC 12A Question 13

AMC12 · 2002 AMC 12A

Question 13

Two different positive numbers $a$ and $b$ each differ from their reciprocals by $1.$ What is $a + b?$
  1. $1$
  2. $2$
  3. $\sqrt{5}$
  4. $\sqrt{6}$
  5. $3$