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2009 AMC 8 Question 24

AMC8 · 2009 AMC 8

Question 24

The letters $A,$ $B,$ $C$ and $D$ all represent different digits. If $ \begin{array}{ccc} &A &B \\ + &C &A \\ \hline &D &A \end{array} $ and $ \begin{array}{ccc} &A &B \\ - &C &A \\ \hline &&A \end{array}, $ what digit does $D$ represent?
  1. $5$
  2. $6$
  3. $7$
  4. $8$
  5. $9$