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Mrs. Stotch is a fifth grade teacher

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?

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