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      Question

      The average of two consecutive even numbers is 67. If the

      smaller number is increased by 35% and the larger number is decreased by 35%, then find the difference between the numbers obtaine
      A 43.5 Correct Answer Incorrect Answer
      B 44.5 Correct Answer Incorrect Answer
      C 44.9 Correct Answer Incorrect Answer
      D 45.3 Correct Answer Incorrect Answer
      E 46 Correct Answer Incorrect Answer

      Solution

      Let the two consecutive even numbers be x and x + 2.

      ATQ,
      (2x + 2)/2 = 67 => x + 1 = 67 => x = 66

      Required difference = 1.35 Γ— 66 - 0.65 Γ— 68 = 89.1 - 44.2 = 44.9

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