Q3. Form the pair of linear equations for the following problems and find their solution by substitution method.
(v) A fraction becomes , if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes . Find the fraction.
Let the numerator of the fraction be x and denominator of the fraction is y
Now According to the question,
Now, From (1) we have
Substituting this value of y in (2)
Substituting this value of x in (3)
Hence the required fraction is