Question 22
In the following cryptarithm, all the different letters stand for different digits. What is the value of the 4-digit number $\overline{AECA}$?
$$\begin{array}{rrrrr}&A&C&A&E\\+&A&E&C&A\\\hline&C&E&D&A\end{array}$$
Interpretation for this question: A and C are leading digits of four-digit numbers, so neither can be zero.
Answer format: enter the whole-number answer without units. Leading zeros are optional (the original paper uses four-digit answer boxes).
$$\begin{array}{rrrrr}&A&C&A&E\\+&A&E&C&A\\\hline&C&E&D&A\end{array}$$
Interpretation for this question: A and C are leading digits of four-digit numbers, so neither can be zero.
Answer format: enter the whole-number answer without units. Leading zeros are optional (the original paper uses four-digit answer boxes).