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SASMO 2022 Grade 9 Question 24

SASMO · SASMO 2022 Grade 9

Question 24

In the cryptarithm below, different letters stand for different digits. Find $Y+A+H+O+O$. $$\overline{YES}\times\overline{YES}=\overline{YAHOO}.$$

Interpretation: Each letter represents one decimal digit; repeated letters represent the same digit. Y is nonzero, and the overlined strings are whole numbers rather than products of letters.

Answer format: an integer without units. Leading zeros are optional; the source uses four digit boxes.

Question illustration