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The sum of two numbers is 27. We need to find the numbers if sum of their reciprocal is 3/ 4 . Represent the above situation in the form of quadratic equation.

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Let the first number be x
=> second number = 27 – x.
Reciprocal of first number = 1/x
Reciprocal of second number = 1/(27-x)
According to the given condition,

=> 36 = x(27 – x)
=> 36 = 27x – x2
=> x2 – 27x + 36 = 0
=>the required quadratic equation is x2 – 27x + 36 = 0.

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