Hello
The way I have done this in the past is to convert the polygons to lines and then set an offset for the line under Symbol Selector, Edit Symbol, Cartographic Line Symbol, Line Properties Tab. You can either set one line by the full offset or each by half an offset.
In the past I have only had a few boarders to do so it was easy, if you have lots you may be able to use FEATURE TO LINE for both polygons then do an INTERSECT on the two line FC - but I have never tried this