Q4. Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :
(ii) A fraction becomes when 1 is subtracted from the numerator and it becomes when 8 is added to its denominator. Find the fraction.
Let numerator of a fraction be x and the denominator is y.
Now, According to the question,
Now, Subtracting (1) from (2) we get,
Putting this value in (2) we get,
Hence, the fraction is