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Let the positive number `a_1,a_2, a_3,a_4` and `a_5` be in a G.P. Let their mean and variance be `(31)/(10)` and `m/n` respectively , where m and n are co-prime . If the mean of their reciprocals is `(31)/(40)` and `a_3+a_4+a_5+14`, then `m+n` is equal to ___.

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