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MathNet 2009-part-05 — 172 problems (EN–VI) Question 109

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 109

Suppose $N$ is a 6-digit number having base-10 representation $\underline{a}\ \underline{b}\ \underline{c}\ \underline{d}\ \underline{e}\ \underline{f}$. If $N$ is $6/7$ of the number having base-10 representation $\underline{d}\ \underline{e}\ \underline{f}\ \underline{a}\ \underline{b}\ \underline{c}$, find $N$.