Express the following statements in the form of two simultaneous linear equations in two variables and determine whether these equations are solvable or not by the method of finding the relations among the ratios of the co-efficients of the same variables and the constant terms :
The sum of the present ages of your elder sister and your father is 84 years. After 8 years, your father's age will be `2""1/3` times of your elder sister.

Answer

x+y=84, 7x-3y+32=0 (x =present age of elder sister, y = present age of father) and consistent