Well, tricking them into doing it doesn’t happen all that often. Depending on the fact pattern, it might be fraud. But there are three common forms of crime that deal with this situation: Solicitation, conspiracy, and complicity.
If you ask someone to commit a crime, or suggest it, you may be guilty of solicitation. If you plan the crime with the person, and maybe do some of it, too, or benefit from it you are guilty of conspiracy. And if you help them with the crime, you are an accomplice (or an accessory).
The problem in the case of statutory rape is that generally none of these doctrines apply to a person who is to be protected from the crime in question. So you can’t charge the minor with soliciting statutory rape, or conspiracy to commit it, or being an accomplice. That makes sense.
OTOH, forgery is a crime; so is knowing possession of forged documents. Defrauding a public official in order to get false identification documents is a crime. Altering a driver’s license is a crime, too.
Ok, here is an example from the law school casebooks involving people being tricked into committing a crime:
Husband invites three friends over. He tells them that his wife has a rape fantasy–she will protest, but really wants them to have sex with her. The men (who are drunk) go into the bedroom and have sex with the wife. She protests (for real–she has no rape fantasy) but they overcome her and have sex with her.
Husband is convicted of rape, despite the fact that the rape statute excludes husbands from prosecution for raping their wives.
How about the three dupes? It depends on the reasonableness of their belief that the wife really was consenting.