Hi:
Hmm, I guess my thought would be: IFFF you downloaded these applications from the safe, legitimate download page at the publisher's own site, then you ought to have received the most current version.
Therefore, I would not expect you to be prompted to update either of them.
For what it's worth, the (standard), safe Adobe site to get flash player is here:
Adobe Flash Player Install for all versions
NOTE: You need separate, different versions for IE (ActiveX version) and for Firefox & similar browsers (NPAPI, "plug-in"). Chrome has its own, embedded version.
To test your current version:
Adobe - Flash Player
Flash Player help:
Flash Player Help
Flash Player uninstaller:
Uninstall Flash Player for Windows
And the only safe place to get JRE (aka "Java") is here:
https://www.java.com/en/download/
(Having said that, few sites and few applications require Java these days. It's a huge security hole, even if it is kept updated. My advice: unless you absolutely need it, fully uninstall it.)
Bottom line: I would not expect you to be prompted to update either Flash Player or "Java" if you got the most current version from the official download site.
If you got them somewhere else, then it's entirely possible you were tricked into installing a fake version.
In that case, you might want to get some help checking your system for malware.
JMHO,
MM