I managed it. In the end I found I had to tweak an installation script.
Specifically this came from here. However, instead of executing the CURL command I downloaded the script from that URL and commented out the two lines with "apt-get update" ... then named the file and made it executable and ran it.
Then I went
sudo apt-get update
and then I went
sudo apt-get install nodejs
The reason was that apt-get update is currently returning with errors on my system, and it appears that this killed off the script before it had set up the PPA in the source list (is this the right term?). I may be wrong about this. I am a low-level Linux person.
NB a script appears to be necessary, not least I noticed that there was a section where the file "translated" the "Linux Mint"-"sylvia" found from my system to "Ubuntu"-"xenial". Indeed, at the download site, the URL ".../Linux Mint/sylvia/..." is non-existent, and returns a 404.