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The sum of two numbers is 6 times their ...

The sum of two numbers is 6 times their geometric means, show that numbers are in the ratio `(3+2sqrt(2)):(3-2sqrt(2))`.

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Verified by Experts

` (a + b)/(2sqrt(ab)) = 3`
Using componendo and dividendo,
` rArr ((sqrt(a) + sqrt(b))^(2))/((sqrt(a) - sqrt(b))^(2)) = 2 `
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