"You're Sixteen" is a song written by the Sherman Brothers (Robert B. Sherman and Richard M. Sherman). It was first performed by American rockabilly singer Johnny Burnette, whose version peaked at number eight on the U.S. Billboard Hot 100 in December 1960 and number 3 in the U.K. in 1961. The original 1960 version of "You're Sixteen" by Johnny Burnette is featured prominently on the 1973 motion picture soundtrack of the film American Graffiti.

Answer this question based on the passage: who wrote your 16 your beautiful and you're mine? Let's have some stream of consciousness first.
The relevant information is: "You're Sixteen" is a song written by the Sherman Brothers (Robert B. Sherman and Richard M. Sherman). So, the answer is the Sherman Brothers ( Robert B. Sherman and Richard M. Sherman ).