Consider Aftab's age as x and his daughter's age as y.Then , seven years ago,Aftab's age =x−7His daughter's age =y−7According to the question,x −7=7(y−7) x−7=7y−49 x−7y=−49+7  x−7y=−42                    …(i)After three years,Aftab's age =x+3His daughter's age =y+3According to the question,x+3   =3(y+3)x+3   =3y+9x−3y= 9−3x−3y =6                       …(ii)Representing equation (i) and (ii) geometrically, we plot these equations by finding points on the lines representing these two equationsx−7y=−42⟹x=7y−42 x=7y−42423549 y 121113x−3y=6⟹x=3y+6 x=3y+6 42 3648 y 121014From the graph we can see that two lines will intersect at a point.  x−7y=−42   x−3y =6  On subtracting the two equations, we get 4y=48or y=12Substituting value of y in (2), x−36=6∴x=42