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The G.M. of two numbers is 6. Their A.M. ‘A’ and H.M. H satisfy the equation 90A+5H = 918 then

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A=10, A = 4

$A = \frac{1}{5}, A = 5$

A = 5, A = 10

$A = \frac{1}{5}, A = 10$

answer is B.

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Detailed Solution

$\sqrt{AH} = 6$ and 90A + 5H = 918 ; Eliminate H

$90 A^{2} - 918 A + 180 = 0 \Rightarrow A = 10 o r A = \frac{1}{5}$

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