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Finding a from two points on a graph

High school · ●●●○○ 50 pts

Given a constant a>0a > 0, the graph of the function f(x)=2x2x+axf(x)= \frac{2^{x}}{2^{x}+ax} passes through the points P(p,65)P\left(p, \frac{6}{5}\right) and Q(q,−15)Q\left(q, -\frac{1}{5}\right). If 2p+q=36pq2^{p+q}=36pq, find the value of aa.

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