### Chapter Wise Important Questions of  Chapter  Chapter 3 Pair of Linear Equations in Two Variables Class 10  Maths

1. Solve graphically the pair of linear equations :   3x - 4y + 3 = 0 and 3x + 4y -
21 = 0  Find the coordinates of the vertices of the triangular region formed by these lines and x-axis. Also, calculate the area of this triangle.

2      .   Solve the following pair of linear equations by cross multiplication method:

x + 2y = 2     and     x - 3y  = 7

3.    Solve the following pair of linear equations by the substitution method:

3x + 2y - 7 = 0                                                                                                                                                      4x + y - 6 = 0
4 .   A part of monthly hostel charge is fixed and the remaining depends on the number of days on e has taken food in the mess. When Swati takes food for   20 days, she has to pay Rs. 3,000 as hostel charges whereas Mansi who takes food for 25 days Rs. 3,500 as hostel charges. Find the fixed charges and the cost of food per day

5.Sum of the ages of a father and the son is 40 years. If  father’s age is three times that of his son, then find their respective ages.

6.4 chairs and 3 tables cost Rs 2100 and 5 chairs and 2 tables cost Rs 1750. Find the cost of one chair and one tabel separetely.

7 . The ratio of incomes of two persons is 11:7 and the ratio of their expenditures is 9:5. If each of them manages to save Rs 400 per month, find their monthly incomes..

8.A two digit number is obtained by either multiplying.the sum of digits by 8 and then subtracting 5 or by multiplying the difference of digits by 16 and adding 3Find the number.

9.The area of a rectangle gets reduced by 9 square units, if its length is reduced by  5 units and the breadth is increased by 3 units. The area is increased by 67 square units if length is increased by 3 units and breadth is increased by 2 units. find the perimeter of the rectangle.

10. The Present age of the father is twice the sum of the ages of his 2 children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father.

11.A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Find the speed of the boat in still water and the speed of speed of the boat in still water and the speed of the stream. 12  A boat covers 32 km upstream and 36 km downstream in 7 hours. Also, it covers 40 km upstream and 48 km downstream in 9 hours. Find the speed of the boat in still water and that of the stream.

13.A part of monthly hostel charge is fixed and the remaining depends on the number of days one has taken food in the mess. When Swati takes food for   20 days, she has to pay Rs. 3,000 as hostel charges whereas Mansi who takes food for 25 days Rs. 3,500 as hostel charges. Find the fixed charges and the cost of food per day.

1. 