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MathNet 2019-part-08 — 179 problems (EN–VI) Question 132

Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)

Question 132

Given that $A$, $B$ are nonzero base-10 digits such that $A \cdot \overline{A B} + B = \overline{B B}$, find $\overline{A B}$.