divide 27 into two parts such that the sum of their reciprocals is 3/20
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Let two parts be x and 27 – x
∴ 1/x + 1/(27 – x) = 3/20
⇒ x2 – 27x + 150 = 0
⇒ (x – 15) (x – 12) = 0
⇒ x = 12 or 15
∴ The two parts are 12 and 15.
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Answer:
to parts are 13 and 15...
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