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      Question

      The sum of two numbers is 60 whereas the sum of their

      reciprocals is (20/9). Find the square of the product of the two numbers.
      A 210 Correct Answer Incorrect Answer
      B 144 Correct Answer Incorrect Answer
      C 169 Correct Answer Incorrect Answer
      D 729 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the two numbers be 'r' and 's'.

      So, r + s = 60

      And (1/r) + (1/s) = (20/9)

      Or, {(r + s)/(rs)} = (20/9)

      Or, rs = (9/20) × 60 = 27

      So, required square = 27² = 729

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