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    Question

    Sum of three positive numbers is 160. If the ratio of

    the first and second number is 2:3, respectively while difference between the first and third number is equal to the second number, then find the third number.
    A 72 Correct Answer Incorrect Answer
    B 84 Correct Answer Incorrect Answer
    C 88 Correct Answer Incorrect Answer
    D 80 Correct Answer Incorrect Answer

    Solution

    Let the first number be '2x' So, second number = 2x × (3/2) = '3x' And, third number = 2x + 3x = '5x' ATQ: 2x + 3x + 5x = 160 Or, 10x = 160 So, x = 16 So, third number = 5 × 16 = 80

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