Helio's post #3 reflects the *accepted interpretation* for the different ages obtained using different samples and dating methods. The Earth with continents emerging some 3.5 or 3.4 billion years ago now according to this new article, the new Chinese lunar rocks show large areas of the Moon's surface forming only 2 billion years ago.
There will be plenty of juggling explanations for all these age differences documented now, whether lunar rocks dated older than 4.5 billion years old, zircons on Earth dated 4.38 billion years old, continents emerged and are dated on Earth now close to 3.5 billion years ago, and on the Moon now, large areas forming 2 billion years ago. Plenty to juggle and reconcile here