+87 1. Let \(n\) be a positive integer. In triangle \(ABC,AB = 3n, AC = 2n + 15, BC = n + 30,\) and \(\angle A > \angle B > \angle C\). How many possible values of \(n\) are there?
2. Triangle \(ABC\) has altitudes \(\overline{AD}, \overline{BE},\) and \(\overline{CF}\) If \(AD = 12, BE = 14,\) and \(CF\) is a positive integer, then find the largest possible value of \(CF.\)
