4. A fraction whose 1/3 when 1 is subtracted from the numerator and it becomes 1/4
when 8 is added to the denominator. Find

By Ella

4. A fraction whose 1/3 when 1 is subtracted from the numerator and it becomes 1/4
when 8 is added to the denominator. Find the fraction.​

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Ella

2 thoughts on “4. A fraction whose 1/3 when 1 is subtracted from the numerator and it becomes 1/4 <br />when 8 is added to the denominator. Find”

  1. Let us assume thenumerator to be =x

    Let us assume thedenominator to be =y

    Hence the fractionbecomes=x/y

    Accordingtothe given condition

    (x−1)/y=1/3

    ⇒y=3x−3 ———-(i)

    Accordingtothesecond givencondition,

    x/(y+8)=1/4

    ⇒y+8=4x

    ⇒y=4x−8 ————(ii)

    Combining(i)and(ii) we get,

    3x−3=4x−8

    ⇒3x−4x=−8+3

    −x=−5

    ⇒x=5

    from(i)

    y=15−3=12

    So,the fraction is =5/12

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