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      Question

      Sum of three positive numbers is 144. If the ratio of

      the first and second number is 3:5, respectively while difference between the first and third number is equal to the second number, then find the third number.
      A 64 Correct Answer Incorrect Answer
      B 72 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 '3x' So, second number = 3x Γ— (5/3) = '5x' And, third number = 3x + 5x = '8x' ATQ: 3x + 5x + 8x = 144 Or, 16x = 144 So, x = 9 So, third number = 8 Γ— 9 = 72

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