1. Liam put down the sheet of paper. "Fifteen questions in all and some real tough ones," he said. "How did you both get on?" "Moira answered twice as many as I missed," replied Anton. "And she missed exactly a third as many as I answered. I think she did better than I did." How many had each of them answered?

Anton answered 9, Moira 12 questions

Anton answered 8, Moira 13 questions

Anton answered 10, Moira 11 questions