A high school basketball game between the Falcons and Hawks was tied at the end of the first quarter. The number of points scored by the Falcons in each of the four quarters formed an increasing geometric sequence, and the number of points scored by the Hawks in each of the four quarters formed an increasing arithmetic sequence. At the end of the fourth quarter, the Falcons had won by five points. Neither team scored more than points in total. What was the total number of points scored by the two teams in the first half?
45
46
47
48
49
