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AMO 2027 Grades 4-5 SET 18 - Self-study Question 15

AMO · AMO 2027 Grades 4-5 SET 18 - Self-study

Question 15

In the following cryptarithm, all different letters stand for different digits. Find the sum (A + B + C).

$\overline{6A}+\overline{BC}=\overline{A09}$.

Each letter is one base-ten digit; A and B, as leading digits, are nonzero. Distinct letters have distinct digits.

Question illustration