That's happening on my dad's new laptop as well - he still uses his MS Office 2013 license because why not, but even after many attempts we couldn't figure out a way to make Windows open double-clicked files in that old Office. It would always pop up the newest unactivated test version. And before that it took a while until the OS even listed the programs in the start menu. MS literally fights its own software when you don't pay the annual 365 ransom.

This was happening to me after a system restore. Uninstalling all other versions of office on my computer, then rebooting and changing the default program to Office 13 worked for me.