a fraction becomes 9/11 if 2 is added to both the numerator and the denominator.if 3 is added to both the numerator and the denominator it

Question

a fraction becomes 9/11 if 2 is added to both the numerator and the denominator.if 3 is added to both the numerator and the denominator it becomes 5/6. find the fraction.​

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Clara 4 days 2021-10-10T07:29:14+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-10T07:30:28+00:00

    Answer

    fraction = 7 / 9

    Solution

    Let numerator be = x

    Let denominator be = y

    so Fraction is = x / y

    Given

    If two is added to both numerator and

    denominator

    x + 2 / y + 2 = 9 / 11

    11 ( x + 2 ) = 9 ( y + 2 )

    11x + 22 = 9y + 18

    11x – 9y + 4 = 0 …… (1)

    Given

    If 3 is added both numerator and

    denominator

    x + 3 / y + 3 = 5 / 6

    6 ( x + 3 ) = 5 ( y + 3 )

    6x + 18 = 5y + 15

    6x – 5y + 3 = 0 …….. ( 2)

    EQUATION =

    11x – 9y + 4 = 0 ….. (1)

    6x – 5y + 3 = 0 …… (2)

    from equation (1) and equation (2) we get

    x = 7

    put x = 7 in equation (2)

    6 ( 7 ) – 5y + 3 = 0

    45 – 5y = 0

    y = 9

    therefore,

    Numerator = x = 7

    Denominator = y = 9

    Hence, fraction is = 7 / 9 = ANSWER

    0
    2021-10-10T07:30:30+00:00

    Answer:

    I think this is the correct answer

    Step-by-step explanation:

    hope it helps you

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