(a) 7
Let the fraction be \(\frac{X}{y}\)
Given, \(\frac{X+1}{y+2}\)= 2
\(\Rightarrow\) x +1 = 2y + 2
\(\Rightarrow\) x – 2y = 1 ..........(i)
and \(\frac{X-1}{y-1}\) = 3
\(\Rightarrow\) x – 1 = 3y – 3 \(\Rightarrow\)x – 3y = –2 ........(ii)
Now solve eqn (i) and (ii) for x and y.