# Shifting the numbers, part 3

$\frac{\overline{ABCDEF}}{\overline{CDEFAB}}=\frac{n}{n+5}$

What is the largest positive integers $$n$$ such that there exist solution for the 6-digit number $$\overline{ABCDEF}$$?

There exist a solution for $$n=12$$ but it is not the largest.

###### You may try some related problems here and here.

This question is part of the set Shifting the numbers.

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