Deliberate mistake: When Gaston is in Belle's house and he puts his muddy boots on Belle's book, when she picks it up and it cuts, a white cloth magically appears in her hand to wipe off the mud. (00:17:40)
Deliberate mistake: At the end of the film, Gaston shoots the Beast with an arrow and pushes the Beast out the window. When the Beast lands on the edge of the castle rooftop, the arrow has disappeared. Even if part of the arrow has broken off, a piece of it would still be in his back. [This, like many other incidents in the film, is a longtime Disney animated tradition. The company seems to believe that violence is less unpleasant if all evidence of it disappears quickly. This is why so many cuts seem to disappear or become less serious. The arrow vanishing is just another example.] (01:16:55)
Deliberate mistake: During the Gaston song in the tavern, Gaston is wearing a pull over shirt with no buttons in front. At one point in the song he rips open his shirt to show off the hair on his chest. The very next second, however, his shirt is back to normal. The shirt is not ripped or disheveled, and it is completely unscathed as if it had never been ripped open or torn apart.
Deliberate mistake: In the brawl, one of the villagers gets his teeth knocked out, but his teeth are intact again a few seconds later.
Answer: In the prologue, it states that the Beast must find true love by his 21st birthday, and that he had been cursed for ten years, so since his relationship with Belle takes place as the deadline approaches, he must have been 10 when he was cursed.