Sisters Amilia and Bianca play games together often. Let A represent the number of games Amilia wins monthly, and let B represent the number of games Bianca wins monthly. A and B are independent events. The mean of A is 35.7 games with a standard deviation of 5.1 games, and the mean of B is 37.3 games with a standard deviation of 6.8 games. What is the mean and standard deviation of the total number of games won, S = A + B?