This is Apple's support article regarding installing the older (installer media) versions of ARD Admin on the newer OSes. The article is for Lion but does work for 10.8 and 10.9 as I've used the steps outlined many times:
An important point to remember is to run Software Update immediately after copying the application to your Applications folder. What you could do is download the update prior to extracting the Admin application. That way you'll have it ready. You may have to download previous updates first?
The other important point to remember is to leave the application where it is and not be tempted to move it.