\[\frac{\overline{ABCDEF}}{\overline{CDEFAB}}=\frac{n}{n+5}\]

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.

This question is part of the set Shifting the numbers.

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