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    Question

    The sum of three positive numbers is 144. If the ratio

    of the first and second numbers is 4:5, and the difference between the first and third number equals the second number, find the third number.
    A 72 Correct Answer Incorrect Answer
    B 57 Correct Answer Incorrect Answer
    C 39 Correct Answer Incorrect Answer
    D 67 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the first number be 4x So, second number = 4x Γ— 5/4 = 5x And, third number = 4x + 5x = 9x ATQ: 4x + 5x + 9x = 144 Or, 18x = 144 So, x = 8 So, third number = 9 Γ— 8 = 72

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