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Statement 1: If the arithmetic mean of t...

Statement 1: If the arithmetic mean of two numbers is 5/2 geometric mean of the numbers is 2, then the harmonic mean will be 8/5. Statement 2: For a group of positive numbers `(GdotMdot)^2=(AdotMdot)(HdotMdot)dot`

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Statement I : If the arithmetic mean of two numbers is (5)/(2) , geometric mean of the numbers is 2, then the harmonic mean will be (8)/(5) . Statement II : For a group of positive numbers (G.M.)^(2) = (A.M.) xx (H.M.)

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The arithmetic mean of two numbers is 10 and their geometric mean is 8. What are the two numbers ?