Mrs. Stotch is a fifth grade teacher. One of her students took her apple. Mrs. Stotch has narrowed the suspects down to Billy, Paige, and Tyler. Each of these students give these statements:

Billy: I didn't do it.

Paige: I didn't do it.

Tyler: Paige did it!

Mrs. Stotch knows that only one of the kids is telling the truth. Which one is telling the truth and who took the apple?