only the person who created the page has the ability to add or remove administrators
these kids are yanking your chain, I am guessing as a joke or cry for attention
Here's what it says when you go to add an admin onto a facebook page:
If you're adding a new admin, please note that anyone you add will have the same control as you. They can even remove you as an admin, and Facebook won't be able to add you back.
Oh look I created a page! I made a family member an admin! Oh look that family member deleted me from the admins! Well what do you know... looks like I'm right!
But if you want to see for yourself feel free to create a page on facebook and make me the admin....