Imagine a civilization developing on Planet X that is orbiting a black hole (or a similar gravitationally massive object). Given the time dilation near such a massive object, do the inhabitants of Planet X measure the age of the universe incorrectly? Does the universe appear much older for them?
As a follow-up question, is there a way to measure the age of the universe independently of the observer's circumstances? What about the extreme (and unlikely) case of a planet which is surrounded by black holes?