The total cost of three tables and two chairs is ₹ $3400$. The cost of two tables and three chairs is ₹ $3100$. Then the total cost of a chair and a table is ₹ ...............

$A$ railway half ticket costs half the full fare,but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ticket from station $A$ to $B$ costs $Rs. 2530$. Also,one reserved first class ticket and one reserved first class half ticket from $A$ to $B$ costs $Rs. 3810$. Find the full first class fare from station $A$ to $B$,and also the reservation charges for a ticket (in $Rs.$).

Solve the following pair of linear equations: $2(3u - v) = 5uv$ and $2(u + 3v) = 5uv$.

The solution of $x+y-1=0$ and $2x+2y-2=0$ is ............

For the pair of equations $\frac{2}{x} + \frac{3}{y} = 3$ and $\frac{3}{x} + \frac{2}{y} = 7$,find the value of $\frac{3}{x} + \frac{3}{y}$.

The sum of a two-digit number and the number obtained by reversing the digits is $66$. If the digits of the number differ by $2$,find the number. How many such numbers are there?