Basically, your chances to recover your file are rather slim. I'm not 100% sure I understood your problem. Do you want the newer version back?
If so, you're pretty much out of luck, unless there exists a shadow copy of some sorts (only provided in Windows 7 IIRC and by default only for stuff under
Right click the folder where the new file has been, open the properties, and look whether there is some tab for previous versions.
Under Windows 8/8.1 there might be an automatic backup with the old newer file, but once again this is not guaranteed.
You can still try to use a tool such as Recuva (Freeware) and look for old copies of the file, but this is not guaranteed to find an overwritten file (also depends on how you copied or moved the file).