I apologize in advance if this is a common question, I searched for "flamel" here first and couldn't find the answer.
If Nicolas Flamel is several hundreds of years old, how did Dumbledore work on the Philosopher's Stone with him? Did he use it a bit himself?
To clarify, Flamel would've died without the PS, at a reasonable age -- so it can be assumed he made it about ~500 years ago. But I seem to recall the book saying that Dumbledore helped him make it. So either Dumbledore used the stone as well (unlikely it seems) or Flamel had already artificially extended his life, or Dumbledore is somehow hundreds of years old.
Am I remembering this incorrectly?