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One says, "Give me a hundred, …

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One says, "Give me a hundred, " Friend! I shall then become twice as rich as you".The other replies, " If you give me ten, I shall be six times as rich as you". Tell ma what I also amount of there (respective) capital? ( make equation only)

    • Posted by Lucky Don 1 year, 1 month ago

    Competitive Exams > NDA > Mathematics
    • 1 answers

    Preeti Dabral 1 year, 1 month ago

    Let the initial amount with them be Rs. x and Rs. y respectively. 

    Then according to the question:

    x+100=2(y−100)

    x+100=2y−200

    x−2y=−300…(1)

    And,

    6(x−10)=(y+10)

    6x−60=y+10

    6x−y=70…(2)

    Multiplying equation (2) by 2, we get:

    12x−2y=140…(3)

    Subtracting equation (1) from equation (3), we get:

    11x=140+300

    11x=440

    x=40

    Substitute the vale of x in  equation (1), we get:

    40−2y=−300

    40+300=2y

    2y=340

    {tex}y=\frac{340}{2}=170{/tex}

    ∴ The  friends had Rs. 40 and Rs. 170 with them respectively.

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