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      Question

      The sum of two numbers is 40. If one-third of the first

      number is subtracted from one-fourth of the second number, then the result is 3. What are the two numbers? 
      A 10, 30 Correct Answer Incorrect Answer
      B 12, 28 Correct Answer Incorrect Answer
      C 15, 25 Correct Answer Incorrect Answer
      D 5, 35 Correct Answer Incorrect Answer

      Solution

      Let the first number be x and the second number be y.  Then, x + y = 40 And,  (1/4)y - (1/3)x = 3  Solving the two equations,  we get x = 12 and y = 28.  Therefore, the two numbers are 12 and 28

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