The denominator of a fraction is 1 more than twice its numerator. If 1 is added to numerator and denominator respectively, the ra

Question

The denominator of a fraction is 1 more than twice its numerator. If 1 is added to
numerator and denominator respectively, the ratio of numerator to denominator is 1:2.​

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Kylie 3 days 2021-10-11T10:27:03+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-11T10:28:44+00:00

    Let the fraction

    y

    x

    So, Numerator =y

    Denominator=x

    Then, According to given question,

    y=2x+1

    y−2x=1……(1)

    So,

    According to second condition,

    y+1

    x+1

    =

    2

    1

    ⇒2x+2=y+1

    ⇒2x−y=−1……(2)

    Solve from (1) and (2) to, and we get,

    x=4andy=9

    The fraction is

    y

    x

    =

    9

    4

    .

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