To add this system in PHP is simple.
date('d-m-Y', strtotime("+1 week"));
Using this code you will get the current date and add an extra week in it (% with%).
Accessing today, the output will be
25-11-2016
Then to stay as you want, just do
echo date('d-m-Y')." à ". date('d-m-Y', strtotime("+1 week"));
18/11/2016 at 11/25/2016
Suggested reading: strtotime ()
An alternative is also to use Javascript.
var date = new Date();
date.setDate(date.getDate() + 7);
Add 7 days more than the current date.
Suggested reading: SetDate ();