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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 Ă— (5/6) = '5x' And, third number = 6x + 5x = '11x' ATQ: 6x + 5x + 11x = 154 Or, 22x = 154 So, x = 7 So, third number = 11 Ă— 7 = 77

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