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1987 AMC 8 Question 8

AMC8 · 1987 AMC 8

Question 8

In the addition problem below, $A$ and $B$ are nonzero digits:

$$
\begin{array}{r} 9876 \\ A32 \\ +B1 \\ \hline \end{array}
$$

How many digits (not necessarily different) are in the sum of the three whole numbers?
  1. $4$
  2. $5$
  3. $6$
  4. $9$
  5. depends on the values of $A$ and $B$