1. By comparing the ratios a1/a2 to b1/b2 C1/C2, state whether the lines represented by the following pair of linear equations intersect at a point, are parallel or are coincident.

a. 5x – 4y + 8 = 0. 7 x + 6y – 9 = 0.

10th class maths textbook solutions chapter 4 Pair of linear equations in two variables exercise 4.1 problem 4
10 students of class X took part in a mathematics quiz. If the number of girls is 4 more than the number of boys then, find the number of boys and the number of girls who took part in the quiz.

10th class maths textbook solutions chapter 4 Pair of linear equations in two variables exercise 4.1 problem 5
5 pencils and 7 pens together cost Rs. 50 where as 7 pencils and 5 pens together cost Rs. 46. Find the cost of one pencil and that of one pen.

10th class math book solutions chapter 4 Pair of linear equations in two variables exercise 4.1 problem 6
Half the perimeter of a rectangular garden is 36 m. If the length is 4m. more than its width, find the dimensions of the garden.

10th class math book solutions chapter 4 Pair of linear equations in two variables exercise 4.1 problem 8
The area of a rectangle gets reduced by 80 sq units if its length is reduced by 5 and breath is increased by 2 units. If we increase the length by 10 units and decrease the breath by 5 units, the area will increase by 50 sq units. Find the length and the breadh after rectangle.

10th class math book solutions chapter 4 Pair of linear equations in two variables exercise 4.1 problem 9
In a class, if three students sit on each bench, one student will be left. If four students sit on each bench one bench,one bench will be left. Find the number of students and the number of benches in that class.

Class 10 maths chapter 4 solutions

Exercise 4.2

10th class math book solutions chapter 4 Pair of linear equations in two variables exercise 4.2 problem 1

The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If each of them manages to save Rs. 2000 for month, find their monthly income.

The sum of 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?

10th class math book solutions chapter 4 Pair of linear equations in two variables exercise 4.2 problem 3
The larger of two supplementary angles exceeds the smaller by 18 degrees. Find the angles.

10th class math book solutions chapter 4 Pair of linear equations in two variables exercise 4.2 problem 5
A fraction will be equal to 4/5 if 1 is added to both numerator and denominator however, 5 is subtracted from both numerator and denominator the fraction will be equal to 1/2. What is the fraction?

10th class math book solutions chapter 4 Pair of linear equations in two variables exercise 4.2 problem 6
Places A and B are 100 km apart on a highway. One car starts from A and another car from B at the same time at different speeds. If the cars travel in the same direction, they meet in 1 hour. What are the speeds of the two cars?

Math class 10 solutions SSC chapter 4 Pair of linear equations in two variables exercise 4.2 problem 7
Two angles are complementary. The larger angle is 3° less than twice the measure of the smaller angle. Find the measure of each angle.

Math class 10 solutions SSC chapter 4 Pair of linear equations in two variables exercise 4.2 problem 8

A dictionary has a total of 1382 pages. It is broken up into two parts. The second part of the book has 64 pages more than the first part. How many pages are in each part of the book?

Math class 10 solutions SSC chapter 4 Pair of linear equations in two variables exercise 4.2 problem 9

A chemist has two solutions of hydrochloric acid in stock. One is 50% solution and the other is 80% solution. How much of each should be used to obtain 100 ml of a 68% solution.

Math class 10 solutions SSC chapter 4 Pair of linear equations in two variables exercise 4.2 problem 10
You have Rs. 12,000 saved amount and wants to invest it in two schemes yeilding 10% under 15% interest. How much amount should be invested in each scheme so that you should get overal 12% interest.