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Question
Find A.M. of two positive numbers whose G.M. and H.M. are 4 and `16/5` respectively.
Solution
Let A, G, and H be the A.M., G.M., and H.M. of two positive numbers, respectively.
Given: G = 4 and H = `16/5`
∵ G2 = AH
∵ (4)2 = A`(16/5)`
∴ A = `(16 xx 5)/16`
= 5
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