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a,b a, ba,b and ccc are real values satisfying a+2b+3c=195 a + 2b + 3c = 195a+2b+3c=195 and a2+b2+c2=2925a^2 + b^2 + c^2 = 2925 a2+b2+c2=2925. The maximum value of aaa has the form pq \frac {p}{q} qp, where ppp and qqq are positive, coprime integers. What is the value of p+q p + qp+q?
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