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2001 AMC 12 Question 6

AMC12 · 2001 AMC 12

Question 6

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. $8$