Divide 27 into two parts such that the sum of their reciprocal is 3/20

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Divide 27 into two parts such that the sum of their reciprocal is $\frac{3}{20}$.

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Let the two parts be x and (27 - x)

According to the given condition,

When x =12,

27 - x = 27 - 12 = 15

When x = 15,

27 - x = 27 - 15 = 12

Hence, the required parts are 12 and 15.

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