Student or Learner
In this sentence is it correct to use me - or should it be I?
She is older than me.
It is probably 'most' correct to say 'She is older than I am.', and that sounds very proper and correct.
But as people love shortcuts, the choice is between 'She is older than I.' and "She is older than me." Between these two, the latter is much more common. And partly for that reason, the former sounds strange.
So "She is older than me." is also correct by virtue of very common use.
Further, some say that "....than me." is also grammatically correct, because in that sentence "than" is a preposition, not a conjunction. I, for one, am not entirely convinced that "than" is a preposition here, but "..than me." is widely accepted as correct.