Q. 21

The denominator of a fraction is greater than its numerator by 11. If 8 is added to both its numerator and denominator, it becomes Find the fraction.

Answer :

Let the fraction be x/y.


According to question -


- x + y = 11.....(1)


and,



On Cross multiplying, We get -


4x + 32 = 3y + 24


4x - 3y = - 8.....(2)


From equation (1), we get -


x = y - 11.....(3)


Substituting the value of x in equation (2), we get -


4(y - 11) - 3y = - 8


y = 36


substituting the value of y in equation (3), we get -


x = 25


Thus, the required fraction is 25/36.


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