Q. 604.0( 3 Votes )

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The sum of two numbers is 6 times their geometric mean. Show that the numbers are in the ratio 3 + 2 2 : 3 – 22.

Answer :

Let the two numbers be a and b.

Then a + b = 6

(a + b)^{2} = 36ab

a^{2} + b^{2} + 2ab = 36ab

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