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SASMO 2027 · Grades 2-3 · SET 010 · Self-study Question 17

SASMO · SASMO 2027 · Grades 2-3 · SET 010 · Self-study

Question 17

In the long multiplication shown, different letters represent different digits and a leading digit cannot be 0. Find the three-digit number VAN. Both occurrences show AN×AN, with partial products PAN and HE; HE is shifted one place left as in ordinary long multiplication.

Question illustration

The printed condition says all different letters have different digits, but the intended source calculation requires H and N to represent the same digit. For this exercise allow that single exception H=N; all other different letters remain different. Under the literal no-exception condition there is no solution.