RD Sharma Solutions for Class 10 Maths Chapter 3 Free PDF Download

CBSE Class 10 Maths Pair of Linear Equations in Two Variables RD Sharma Solutions

CBSE Class 10 board exams score is significant and plays an important role in the admission in the branch of student’s choice. Class 10 Maths requires the students to attain a clear understanding of the concepts, formulas and their application. Class 10 also lays the base for higher studies. Thus, RD Sharma solutions are of great significance here. RD Sharma solutions contain ample practice questions along with a lot of illustrations. RD Sharma solutions for class 10 maths chapter 3 provide easy and step by step solutions that boost the confidence of the students to solve such problems.

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RD Sharma Solutions for Class 10 Chapter 3 will help students in understanding the chapter and related concepts in a clear manner. Hence, RD Sharma Solutions for Class 10 Chapter 3 is all you need for studying Pair of Linear Equations in Two Variables. This chapter explains the systems of linear equations in two variables and its solutions, substitution, elimination and cross-multiplication methods and its applications.

Sub-topics covered under RD Sharma Solutions for Class 10 Maths Chapter 3

• Class 10 Chapter 3 Real Numbers Exercise 3.1
• Class 10 Chapter 3 Real Numbers Exercise 3.2
• Class 10 Chapter 3  Real Numbers Exercise 3.3
• Class 10 Chapter 3  Real Numbers Exercise 3.4
• Class 10 Chapter 3 Real Numbers Exercise 3.5
• Class 10 Chapter 3 Real Numbers Exercise 3.6
• Class 10 Chapter 3  Real Numbers Exercise 3.7
• Class 10 Chapter 3  Real Numbers Exercise 3.8
• Class 10 Chapter 3 Real Numbers Exercise 3.9
• Class 10 Chapter 3 Real Numbers Exercise 3.10
• Class 10 Chapter 3  Real Numbers Exercise 3.11

Solved Examples from RD Sharma Class 10 Solutions – Chapter 3

Question 1: Akhila went to a fair in her village. She wanted to enjoy rides on the Giant Wheel and play Hoopla (a game in which you throw a ring on the items kept in the stall, and if the ring covers any object completely you get it). The number of times she played Hoopla half the number of rides she had on the Giant Wheel. Each ride costs Rs.3, and a game Hoopla costs Rs.4. If she spent Rs.20 in the fair, represent this situation algebraically.

Answer:

Let number of times she played =y

And number of rides she had on giant wheel =x

Given y = \(\frac{x}{2}​\)

⇒x−2y=0 →equation (1)

Also given that each ride costs 3 rs and a game hoopla costs 4rs. She spent the total of 20 rs

⇒3x+4y=20 →equation (2)

Multiplying equation (1) by 3 and subtract it from equation (2)

⇒10y=20

⇒y=2 and x=4

⇒ number of times she played =2

And the number of rides she had on giant wheel =4

Question 2: The difference between two numbers is 26 and one number is three times the other. Find the sum of these numbers.

Answer:

Let two numbers be x & y

x−y=26 ____ (1)

x=3y ____ (2)

substituting (2) in (1) we get

3y−y−26

2y=26

y=13

x=3y from (2)

x=3×13

x=39

we need to find the sum of two numbers

x+y=39+13

=52

Question 3: Solve the following systems of equations:
0.4x+0.3y=1.7
0.7x−0.2y=0.8

Equations can be rewritten as:

⇒4x+3y=17

⇒7x−2y=8

Multiply 1st equation by 2 and 2nd equation by 3

⇒8x+6y=34

⇒21x−6y=24

Add two equations;

⇒29x=58

⇒x=2

Substitute x in equation (1);

⇒3y=9

⇒y=3

∴x=2, y=3

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