Updates for your web browser Firefox come from Mint's own repository, not straight from the Ubuntu sources. In some cases, this might mean a delay of several days before you get the latest Firefox.
If you don't want to wait, you can instruct your Mint to prefer the Ubuntu version of Firefox. Like this:
a. Launch a terminal window.
(You can launch a terminal window like this: *Click*)
b. Then create a certain new file by means of this terminal command (use copy/paste to avoid typing errors):
sudo touch /etc/apt/preferences.d/firefox-ubuntu
Press Enter. Type your password when prompted. In Ubuntu this remains entirely invisible, not even dots will show when you type it, that's normal. In Mint this has changed: you'll see asterisks when you type. Press Enter again.
Then copy/paste this line into the terminal, in order to edit the new file:
xed admin:///etc/apt/preferences.d/firefox-ubuntu
Press Enter.
c. In that empty text file, copy/paste the following blue text:\\
//
**Package: firefox*\\
Pin: release o=Ubuntu\\
Pin-Priority: 800**// \\
d. Save the modified text file and close it.
e. Launch Update Manager, refresh it and install the updates for Firefox (if any).
f. Close Firefox and launch it again.