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      Question

      Find a positive number which when increased by 26 is

      equal to 120 times the reciprocal of the number?
      A 3 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C 6 Correct Answer Incorrect Answer
      D 4 Correct Answer Incorrect Answer

      Solution

      let the number be x x + 26 = 120 ├Ч1/x x + 26 = 120/x x┬▓ + 26x = 120 x┬▓ + 26x - 120 = 0 x┬▓ - 4x + 30x - 120 = 0 x (x-4) + 30(x-4) (x+30) (x-4) = 0 x = 4, -30 (as positive integer)

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