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SMO 2008 Junior Round 1 Question 6

SMO · SMO 2008 Junior Round 1

Question 6

In the following sum, $O$ represents the digit $0$. $A,B,X,Y$ represent distinct digits. How many possible digits can $A$ be?

$$\begin{array}{r}
\mathtt{AOOBAOOB}\\
+\mathtt{BOOABOOA}\\\hline
\mathtt{XXOXYXOXX}
\end{array}$$
  1. $6$
  2. $7$
  3. $8$
  4. $9$
  5. $10$