Multiple Choice Questions on The sum of two positive numbers and is 2 5 times their difference If the product of numbers is 84 th........... for CDS Exam Preparation

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Multiple Choice Questions

The sum of two positive numbers and is 2 5 times their difference If the product of numbers is 84 th...........

Quantitative Aptitude (CDS) Number System
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    The sum of two positive numbers ?? and ?? is 2.5 times their difference. If the product of numbers is 84, then what is the sum of those two numbers?

    26

    Incorrect Answer

    24

    Incorrect Answer

    22

    Incorrect Answer

    20

    Correct Answer
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    Explanation:

    According to the equation
    (x + y) = 2.5(x− y)
    ⇒ x + y = 2.5x – 2.5y
    ⇒ 3.5y = 1.5x
    ⇒x:y = 7:3
    x = (7/3)y……….. (i)
    Now, xy = 84
    (7/3)y x y = 84
    y2 = 12×3
    y = 6 ⇒ x =(7/3) x 6 =14
    Sum of numbers = ?? + ?? = 14 + 6 = 20

    By: Munesh Kumari
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