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The sum of 2 no. is 9 . the sum of their reciprocal is 1/2 . Find the numbers.

Answer» thanks a lot dear
Given that the sum of two numbers is 9 Let the two numbers be x and 9-xBy the given hypothesis, we have1/x + 1/9-x = 1/2(9 - x + x)/x(9-x) = 1/218 = 9x - x2x 2 - 9x + 18 = 0(x - 6)(x - 3) = 0x = 6 or x = 3Therefore the numbers are 3 and 6.


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