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      Question

      Sum of three positive numbers is 154. If the ratio of

      the first and second number is 6:5, respectively while difference between the first and third number is equal to the second number, then find the third number.
      A 66 Correct Answer Incorrect Answer
      B 77 Correct Answer Incorrect Answer
      C 88 Correct Answer Incorrect Answer
      D 99 Correct Answer Incorrect Answer
      E 84 Correct Answer Incorrect Answer

      Solution

      Let the first number be '6x' So, second number = 6x Γ— (5/6) = '5x' And, third number = 6x + 5x = '11x' ATQ: 6x + 5x + 11x = 154 Or, 22x = 154 So, x = 7 So, third number = 11 Γ— 7 = 77

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