Please check my answer? How old is the moon? A: much older than Earth B: About the same age as Earth C: Much younger than Earth D: Older than the sun (my answer)

The moon is believed to have formed after a collision between the Earth and another heavenly body, so it is a bit younger than the Earth. The solar system probably formed together (give or take a few million years) around 4.65 billion years ago, the moon probably around 4.5 billion years ago (although this is educated conjecture). 

The nearest of your three possible answers is therefore: (B) About the same age as the Earth.