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      Question

      The sum of two numbers is 90 whereas the sum of their

      reciprocals is (30/11). Find the square of the product of the two numbers.
      A 2100 Correct Answer Incorrect Answer
      B 1089 Correct Answer Incorrect Answer
      C 1600 Correct Answer Incorrect Answer
      D 1200 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the two numbers be 'x' and 'y'.

      So, x + y = 90

      And (1/x) + (1/y) = (30/11)

      Or, {(x + y)/(xy)} = (30/11)

      Or, xy = (11/30) × 90 = 33

      So, required square = 33² = 1089

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