The AM between m and n, and GM between a and b are equal to (ma+nb)/(m+n). Find m,n in terms of a,b.

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The A.M. between m and n and the G.M. between a and b are each equal to `(ma + nb)/(m+n)`. The A.M. between m and n and the G.M. between a and b are each equal to `(ma + nb)/(m+n)`.
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