If a(1),a(2)......a(10) are positive num...

If `a_(1),a_(2)......a_(10)` are positive numbers in an arithmetic progression such that `(1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))+....+(1)/(a_(9)a_(10))=(9)/(64) and (1)/(a_(1)a_(10))+(1)/(a_(2)a_(9))+.....(1)/(a_(10)a_(1))= (1)/(10) ((1)/(a_(1))+....(1)/(a_(10)))` then sum of digits of `(4((a_(1))/(a_(10))+(a_(10))/(a_(1))))` is

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