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      Question

      Sum of three positive numbers is 126. If the ratio of

      the first and second number is 4:5, respectively while difference between the first and third number is equal to the second number, then find the third number.
      A 63 Correct Answer Incorrect Answer
      B 70 Correct Answer Incorrect Answer
      C 60 Correct Answer Incorrect Answer
      D 75 Correct Answer Incorrect Answer
      E 80 Correct Answer Incorrect Answer

      Solution

      Let the first number be '4x' So, second number = 4x × (5/4) = '5x' And, third number = 4x + 5x = '9x' ATQ: 4x + 5x + 9x = 126 Or, 18x = 126 So, x = 7 So, third number = 9 × 7 = 63

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