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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 × (5/3) = '5x' And, third number = 3x + 5x = '8x' ATQ: 3x + 5x + 8x = 144 Or, 16x = 144 So, x = 9 So, third number = 8 × 9 = 72

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