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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

      Solution

      ATQ;
      Let the numbers be A and B.

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

      And (A + B)┬│ = 3375 = 15┬│

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

      A = 10 and B = 5
      Therefore,
      A┬│ - B┬│ = 10┬│ - 5┬│ = 1000 - 125 = 875

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