Word Problems on Simultaneous Linear Equations

The monthly salaries of Kewal and Ujwal were in the ratio of  $4:5$. Their monthly expenditure were in the ratio $3:4$. If they saved  $2000$ each, find their income.

Four years ago the ages of Anand and Vijay are in the ratio  $2:3$. Four years from now, their ages would be in the ratio  $4:5$. Find their present age. 

If$1$  is added to each of numerator and denominator of a fraction, it reduces$\frac{3}{4}$ . When $3$ is added to the denominator it reduces to$\frac{1}{2}$ . Find the fraction

Divide $₨600$ into two parts such that, two ninth of the first part is equals two third of second part.

 The difference between two numbers is $6$. The difference between their squares is $156$. Find the two numbers?

In a two-digit number, the ones digit is half the tens digit. When the digits are reversed the number reduces by $36$. Find the number.

Kamala bought  $4$  bangles and $2$  hair clips for $₹16$. Kajol bought $6$ bangles and $3$ hair clips for $₹24$. Find the cost of $2$bangles and $2$ hair clips.

Solve the given equation  $\frac{x}{4}-\frac{y}{2}=2, \frac{x}{4}+\frac{y}{2}=0$

Solve the given equation  $\frac{3}{x}-\frac{2}{y}=4, \frac{5}{x}+\frac{2}{3y}=4\frac{2}{3}$

Solve the given equation  $\frac{4}{x}+\frac{3}{y}=2, \frac{2}{x}+\frac{4}{y}=1\frac{5}{6}$