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Discussion

Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

  • A.17
  • B.15
  • C.8
  • D.3

Answer: D

If the number is \(x\)
Then,
\(x + 17 = \dfrac{60}{x}\\ x^2 + 17x - 60 = 0\\ (x + 20)(x - 3) = 0\\ x = 3, -20\\ \text{so } x = 3 (\because 3 \text{ is positive})\)

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