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    Question

    If the sum of two numbers is cubed and equals 3375, and

    their product is 150, what is the positive difference between their individual cubes?
    A 775 Correct Answer Incorrect Answer
    B 875 Correct Answer Incorrect Answer
    C 650 Correct Answer Incorrect Answer
    D 665 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let the numbers be A and B.

    Product of numbers AB = 150... (1)

    And (A + B)³ = 3375 = 15³

    So, A + B = 15... (2) From equation (1) and (2),

    A = 10 and B = 5 Therefore, A³ - B³ = 10³ - 5³ = 1000 - 125 = 875

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