Troy and Elise each want to run for president of their school's student body council. In order to do so, they must collect a certain number of signatures and get a nomination. So far, Troy has 20 signatures, and Elise has 19. Troy is collecting signatures at an average rate of 6 per day, whereas Elise is averaging 7 signatures every day. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures. How long will that take? How many signatures will they both have