The command to delete files over a certain age is deceptively easy in Linux.
find * -mtime +5 -exec rm {} \;
This finds all files over 5 days old in the current directory and deletes them. This is quite useful in a backup script run from cron.
If you want to also delete directories then you can add -rf to your rm 🙂
find * -mtime +5 -exec rm -rf {} \;
It can also be helpful to filter on file names
find *.log -mtime +5 -exec rm {} \;