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SASMO 2019 Grade 8 Question 24

SASMO · SASMO 2019 Grade 8

Question 24

In this cryptarithm, different letters represent different digits. What is $O+D+A+G$?
$$\begin{array}{rrrr}G&O&O&D\\+&D&O&G\\\hline D&G&D&A\end{array}$$

Leading digits $G$ and $D$ are nonzero.

Original layout:

Question illustration

Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).