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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) = 3โˆš1728 = 12 squaring both sides ย  (x - y) ยฒ = 144 x2+y2-2xy =144 xยฒ + yยฒ = 144 + 216 = 360 Now, (x + y) = โˆš (xยฒ + yยฒ + 2xy) =โˆš (360 + 216) = โˆš576 = 24 X+y=24.

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