Q4 of 61 Page 26

The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.

Let the numerator and denominator of the fraction be x and y respectively.


Fraction =


Given,


Denominator = 2(Numerator) + 4


⇒


⇒ …I


According to the given condition, we have



⇒


⇒ …II


Equating Eq. I and II,







Putting x = 7 in equation I, we get


⇒


⇒


⇒


⇒


Hence, required fraction =


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