Shifting the numbers, part 2

Logic Level 5

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

What is the sum of all positive integers \(n <100\) such that there exist a solution for the 6-digit number \(\overline{ABCDEF}\)?

Example: \(n=12\) is possible and you may try a related problem here.


This question is part of the set Shifting the numbers.

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