Linear Equations in Two Variables | Class 9 | Practice Set 5.2

Linear Equations in Two Variables | Class 9 | Practice Set 5.2

Linear Equations in Two Variables | Class 9 | Practice Set 5.2, word problems based on linear equations are solved in this article.

Practice-Set-5.2

The examples of this practice set are word problems dependent on the topic of linear equations in two variables.

We first need to form two linear equations based on the information provided in the example.

Then these linear equations can be solved by using either the elimination method or by substitution method.

For solving these examples by elimination method we need to make the coefficients of any variables same and then we can add or subtract them accordingly.

For solving these examples by substitution method we need to find the value of any variable and then need to substitute it in the other equation.

Also read : Sets | Class 9 | Practice Set 1.1

The examples of this practice set are given below –

Class 9 | Practice Set 5.2

(1) In an envelope there are some 5 rupee notes and some 10 rupee notes. Total amount of these notes together is 350 rupees. Number of 5 rupee notes are less by 10 than number of 10 rupee notes. Then find the number of 5 rupee and 10 rupee notes.

(2) The denominator of a fraction is 1 less than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is 3 : 5. Find the fraction.

(3) The sum of ages of Priyanka and Deepika is 34 years. Priyanka is elder to Deepika by 6 years. Then find their today’s ages.

(4) The total number of lions and peacocks in a certain zoo is 50. The total number of their legs is140. Then find the number of lions and peacocks in the zoo.

Also read : Sets | Class 9 | Practice Set 1.2

Practice Set 5.2

(5) Sanjay gets fixed monthly income. Every year there is a certain increment in his salary. After 4 years, his monthly salary was Rs. 4500 and after 10 years his monthly salary became 5400 rupees, then find his original salary and yearly increment.

(6) The price of 3 chairs and 2 tables is 4500 rupees and price of 5 chairs and 3 tables is 7000 rupees, then find the total price of 2 chairs and 2 tables.

(7) The sum of the digits in a two-digits number is 9. The number obtained by interchanging the digits exceeds the original number by 27. Find the two-digit number.

(8) In triangle ABC, the measure of angle A is equal to the sum of the measures of angle B and angle C. Also the ratio of measures of angle B and angle C is 4 : 5. Then find the measures of all the angles of the triangle.

(9) Divide a rope of length 560 cm into 2 parts such that twice the length of the smaller part is equal to 1/3 of the larger part. Then find the length of the larger part.

(10) In a competitive examination, there were 60 questions. The correct answer would carry 2 marks, and for incorrect answer 1 mark would be subtracted. Yashwant had attempted all the questions and he got total 90 marks. Then how many questions he got wrong ?