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2001 AMC 10 Question 13

AMC10 · 2001 AMC 10

Question 13

A telephone number has the form $ABC-DEF-GHIJ,$ where each letter represents a different digit. The digits in each part of the number are in decreasing order; that is, $A\gt B\gt C,$ $D\gt E\gt F,$ and $G\gt H\gt I\gt J.$ Furthermore, $D,$ $E,$ and $F$ are consecutive even digits; $G,$ $H,$ $I,$ and $J$ are consecutive odd digits; and $A+B+C=9.$ Find $A.$
  1. $4$
  2. $5$
  3. $6$
  4. $7$
  5. $8$