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      Question

      The cube of the difference between two given natural

      numbers is 1728, while the product of these two given numbers is 108. Find the sum of these two given numbers.
      A 16 Correct Answer Incorrect Answer
      B 48 Correct Answer Incorrect Answer
      C 24 Correct Answer Incorrect Answer
      D 32 Correct Answer Incorrect Answer

      Solution

      1st natural number = x 2nd natural number = y (x - y)3 = 1728 (x - y) = 3√1728 = 12 squaring both sides   (x - y) ² = 144 x2+y2-2xy =144 x² + y² = 144 + 216 = 360 Now, (x + y) = √ (x² + y² + 2xy) =√ (360 + 216) = √576 = 24 X+y=24.

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