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2003 AMC 8 Question 14

AMC8 · 2003 AMC 8

Question 14

In this addition problem, each letter stands for a different digit. $$
\begin{array}{cccc}&T & W & O\\ +&T & W & O\\ \hline F& O & U & R\end{array}
$$ If $T = 7$ and the letter $O$ represents an even number, what is the only possible value for $W?$
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. $4$