that's the problem... it's the ghost trick...
GL said that to solve it, you had to "crack" this one...
"If you strike me down, I shall become more powerfull than you can possible imagen"
still, there is nothing final about todays theories, it will be explained in 2005, or so Mc Callum claims...
Most people think it has to do with the prophecy
The point is, Vader didn;t kill Obi-Wan. Obi-Wan faded first.
Obi-Wan knew that escape was difficult from where he was, and Luke and co were too busy watching him to move. He knew that if things came to the worse he could always do the ghost trick and carry on teaching Luke. And it suddenly occurred to him that he was actually better off doing it right there and then- VAder would think him dead, but in fact he was free to keeo helping Luke in ghost form!
And hence the Dark Side was outwitted.
I have another theory then, maybe it is something that only years of meditation would allow you to find, old Ben hidden away on tattooine was able to find the time and energies to find himself in the force more and thus find the answer on how to do this, Vader was just surprised that Obi-Wan was so much more in tune with the force that he imagined.
A person dying of old age, or even of disease, does not instantly die when he has just been talking.That is a load of crap, my grandma did. She talk about the good life she had had and then her eyes just stared empty into the air and she was dead.
Faded away and died before he disappeared? That makes no sense; you had him fade tiwce.
If you say your grandmothjer died like that then I can hardly contradict you but in 99% of cases people do not die from consciousness like that unless suffering a sudden death like an axe in the head or a car crash. You fall unconscious and then die later.
But anyway, it isn't that important and if you want to believe they died 'first' then feel free.
Anakin, meanwhile, was seen in ghost form and so almost certainly disappeared.