H K Dass, Rama Verma and, Bhagwat Swarup Sharma Solutions for Chapter: Pair Of Linear Equations In Two Variables, Exercise 6: REVISION EXERCISE

The ratio of the incomes of the two persons is $9:7$ and the ratio of their expenditures is $4:3$. If each of them manages to save$₹2000$ per month. Find their monthly incomes.

If $4$ times the area of a smaller square is subtracted from the area of a larger square, the result is $144 {\mathrm{m}}^2$. The sum of the areas of two squares is $464 {\mathrm{m}}^2$. Determine the area of the two squares.

The age of the father is equal to sum of the ages of his $6$ children. After $15$ years, twice the age of the father will be the sum of ages of his children. Find the age of father.

Check graphically whether the pair of linear equations $4x-y-8=0$ and $2x-3y+6=0$ consistent. Also, find the vertices of a triangle formed by these lines with $x-$axis.

Solve the following equations graphically: $2x+3y=12$ and $x-y=1$. Shade the region between the two lines and $x-$axis.

Solve graphically the pair of linear equations:

$3x+y-3=0; 2x-y+8=0$

Write the co-ordinates of the vertices of the triangle formed by two lines with $x-$axis 

The sum of two digit number and number obtained by reversing the order of digits is $99$. If the digits of the number differ by $3$. Find the number.

A sailor goes 8 km downstream in $40$ minutes and returns in $1$ hour. Find the speed of sailor in still water and the speed of current