The sum of two numbers is 15 and their geometric mean is 20% lower than their arithmetic mean. Find the numbers.

11, 4

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12, 3

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13, 2

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10, 5

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Solution

The correct option is B 12, 3
Going through options only 12 and 3 satisfies the condition

$A M = \frac{12 + 3}{2} = 7.5$

$G M = \sqrt{12 \times 3} = 6$
which is 20% less than 7.5

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