Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > RS Aggarwal Solutions: Exercise 8B - Linear Equations
RS Aggarwal Solutions: Exercise 8B - Linear Equations | Mathematics (Maths) Class 8 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
Question 1.
Two numbers are in the ratio 8:3. If the sum of the numbers is 143, find the numbers.
Answer:
Since the numbers are in the ratio 8:3 so Let the numbers be 8x and 3x
According to the question
Page 2
Question 1.
Two numbers are in the ratio 8:3. If the sum of the numbers is 143, find the numbers.
Answer:
Since the numbers are in the ratio 8:3 so Let the numbers be 8x and 3x
According to the question
8x + 3x = 143
? 11x = 143
? x = 13
So the numbers are 8x = 8 × 13 = 104 and 3x = 3 × 13 = 39
Question 2.
of a number is 20 less than the original number. Find the number.
Answer:
Let the numbers be x
According to the question
By cross multiplication
Taking LCM of 1 and 3 on LHS = 3
? x = 60
So the number 60
Question 3.
Four - fifths of a number is 10 more than two - thirds of the number. Find the number.
Answer:
Let the numbers be x
According to the question
Page 3
Question 1.
Two numbers are in the ratio 8:3. If the sum of the numbers is 143, find the numbers.
Answer:
Since the numbers are in the ratio 8:3 so Let the numbers be 8x and 3x
According to the question
8x + 3x = 143
? 11x = 143
? x = 13
So the numbers are 8x = 8 × 13 = 104 and 3x = 3 × 13 = 39
Question 2.
of a number is 20 less than the original number. Find the number.
Answer:
Let the numbers be x
According to the question
By cross multiplication
Taking LCM of 1 and 3 on LHS = 3
? x = 60
So the number 60
Question 3.
Four - fifths of a number is 10 more than two - thirds of the number. Find the number.
Answer:
Let the numbers be x
According to the question
? 2x = 10 × 15 = 150
? x = 75
So the number is 75.
Question 4.
Twenty - four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find
each part.
Answer:
Let the two parts be x and (24 - x)
According to the question
7x + 5(24 - x) = 146
By cross multiplication
? 2x = 146 - 120
? 2x = 26
? x = 13
So the parts are 13 and (24 - 13) = 11
Question 5.
Find the number whose fifth part increased by 5 is equal to its fourth part diminished by 5.
Answer:
Let the numbers be x
According to the question
Page 4
Question 1.
Two numbers are in the ratio 8:3. If the sum of the numbers is 143, find the numbers.
Answer:
Since the numbers are in the ratio 8:3 so Let the numbers be 8x and 3x
According to the question
8x + 3x = 143
? 11x = 143
? x = 13
So the numbers are 8x = 8 × 13 = 104 and 3x = 3 × 13 = 39
Question 2.
of a number is 20 less than the original number. Find the number.
Answer:
Let the numbers be x
According to the question
By cross multiplication
Taking LCM of 1 and 3 on LHS = 3
? x = 60
So the number 60
Question 3.
Four - fifths of a number is 10 more than two - thirds of the number. Find the number.
Answer:
Let the numbers be x
According to the question
? 2x = 10 × 15 = 150
? x = 75
So the number is 75.
Question 4.
Twenty - four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find
each part.
Answer:
Let the two parts be x and (24 - x)
According to the question
7x + 5(24 - x) = 146
By cross multiplication
? 2x = 146 - 120
? 2x = 26
? x = 13
So the parts are 13 and (24 - 13) = 11
Question 5.
Find the number whose fifth part increased by 5 is equal to its fourth part diminished by 5.
Answer:
Let the numbers be x
According to the question
Taking LCM of 5 and 1 on LHS = 5 and 4 and 1 on RHS = 1
?
So the number 200
Question 6.
Three numbers are in the ratio of 4 : 5 : 6. If the sum of the largest and the smallest equals the sum of the third and 55,
find the numbers.
Answer:
Let the numbers be 4x,5x and 6x
According to the question
6x + 4x = 5x + 55
By cross multiplication
? 10x - 5x = 55
? 5x = 55
? x = 11
So the numbers are 4x = 4 × 11 = 44, 5x = 5 × 11 = 55 and 6x = 6 × 11 = 66
Question 7.
If 10 be added to four times a certain number, the result is 5 less than five times the number. Find the number.
Answer:
Let the number be x
According to the question
Page 5
Question 1.
Two numbers are in the ratio 8:3. If the sum of the numbers is 143, find the numbers.
Answer:
Since the numbers are in the ratio 8:3 so Let the numbers be 8x and 3x
According to the question
8x + 3x = 143
? 11x = 143
? x = 13
So the numbers are 8x = 8 × 13 = 104 and 3x = 3 × 13 = 39
Question 2.
of a number is 20 less than the original number. Find the number.
Answer:
Let the numbers be x
According to the question
By cross multiplication
Taking LCM of 1 and 3 on LHS = 3
? x = 60
So the number 60
Question 3.
Four - fifths of a number is 10 more than two - thirds of the number. Find the number.
Answer:
Let the numbers be x
According to the question
? 2x = 10 × 15 = 150
? x = 75
So the number is 75.
Question 4.
Twenty - four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find
each part.
Answer:
Let the two parts be x and (24 - x)
According to the question
7x + 5(24 - x) = 146
By cross multiplication
? 2x = 146 - 120
? 2x = 26
? x = 13
So the parts are 13 and (24 - 13) = 11
Question 5.
Find the number whose fifth part increased by 5 is equal to its fourth part diminished by 5.
Answer:
Let the numbers be x
According to the question
Taking LCM of 5 and 1 on LHS = 5 and 4 and 1 on RHS = 1
?
So the number 200
Question 6.
Three numbers are in the ratio of 4 : 5 : 6. If the sum of the largest and the smallest equals the sum of the third and 55,
find the numbers.
Answer:
Let the numbers be 4x,5x and 6x
According to the question
6x + 4x = 5x + 55
By cross multiplication
? 10x - 5x = 55
? 5x = 55
? x = 11
So the numbers are 4x = 4 × 11 = 44, 5x = 5 × 11 = 55 and 6x = 6 × 11 = 66
Question 7.
If 10 be added to four times a certain number, the result is 5 less than five times the number. Find the number.
Answer:
Let the number be x
According to the question
10 + 4x = 5x - 5 [ 10 is added to 4 times the number, 5 less than 5 times the number]
By transposing
? 5x - 4x = 10 + 5
? x = 15
So the number is 15
Question 8.
Two numbers are such that the ratio between them is 3 : 5. If each is increased by 10, the ratio between the new
numbers so formed is 5:7. Find the original numbers.
Answer:
Let the numbers be 3x and 5x
According to the question
By cross multiplication
? 7(3x + 10) = 5(5x + 10)
? 21x + 70 = 25x + 50
? 4x = 20
? x = 5
So the numbers are 3x = 3 × 5 = 15 and 5x = 5 × 5 = 25
Question 9.
Find three consecutive odd numbers whose sum is 147. Hint. Let the required numbers be (2x + 1), (2x + 3) and (2x +
5).
Answer:
Let the numbers be (2x + 1), (2x + 3) and (2x + 5)
According to the question
Read More
|
79 videos|408 docs|31 tests
|
FAQs on RS Aggarwal Solutions: Exercise 8B - Linear Equations - Mathematics (Maths) Class 8
| 1. What are linear equations? |  |
Ans. Linear equations are equations with two variables that can be represented by a straight line on a graph. They are in the form of ax + by = c, where a, b, and c are constants and x and y are variables.
| 2. How do you solve a linear equation? | |
Ans. To solve a linear equation, you need to isolate the variable on one side of the equation. You can do this by performing operations such as addition, subtraction, multiplication, and division on both sides of the equation. The goal is to simplify the equation until you have the variable on one side and the constant on the other side.
| 3. What is the importance of solving linear equations? | |
Ans. Solving linear equations is important as it helps in finding the values of variables and understanding the relationship between them. It is a fundamental concept in algebra and is used in various real-life situations such as calculating distances, determining rates, and solving problems involving proportions.
| 4. How many solutions can a linear equation have? | |
Ans. A linear equation can have three types of solutions: one solution, no solution, or infinitely many solutions. If the equation represents two lines that intersect at one point, it has one solution. If the equation represents two parallel lines, it has no solution. And if the equation represents two coincident lines, it has infinitely many solutions.
| 5. Can linear equations be solved graphically? | |
Ans. Yes, linear equations can be solved graphically by plotting the equations on a coordinate plane and finding the point of intersection (if any) of the two lines. The coordinates of the point of intersection will give the solution to the linear equation system. Graphical solutions are particularly useful when dealing with simultaneous linear equations.
Related Exams
About this Document
|
4.75/5 Rating |
|
Nov 30, 2024 Last updated |
Document Description: RS Aggarwal Solutions: Exercise 8B - Linear Equations for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation.
The notes and questions for RS Aggarwal Solutions: Exercise 8B - Linear Equations have been prepared according to the Class 8 exam syllabus. Information about RS Aggarwal Solutions: Exercise 8B - Linear Equations covers topics
like and RS Aggarwal Solutions: Exercise 8B - Linear Equations Example, for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RS Aggarwal Solutions: Exercise 8B - Linear Equations.
Introduction of RS Aggarwal Solutions: Exercise 8B - Linear Equations in English is available as part of our Mathematics (Maths) Class 8
for Class 8 & RS Aggarwal Solutions: Exercise 8B - Linear Equations in Hindi for Mathematics (Maths) Class 8 course.
Download more important topics related with notes, lectures and mock test series for Class 8
Exam by signing up for free. Class 8: RS Aggarwal Solutions: Exercise 8B - Linear Equations | Mathematics (Maths) Class 8
Description
Full syllabus notes, lecture & questions for RS Aggarwal Solutions: Exercise 8B - Linear Equations | Mathematics (Maths) Class 8 - Class 8 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 8 | Best notes, free PDF download
Information about RS Aggarwal Solutions: Exercise 8B - Linear Equations
In this doc you can find the meaning of RS Aggarwal Solutions: Exercise 8B - Linear Equations defined & explained in the simplest way possible. Besides explaining types of
RS Aggarwal Solutions: Exercise 8B - Linear Equations theory, EduRev gives you an ample number of questions to practice RS Aggarwal Solutions: Exercise 8B - Linear Equations tests, examples and also practice Class 8
tests
|
Explore Courses for Class 8 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
shortcuts and tricks
,MCQs
,study material
,Important questions
,mock tests for examination
,Viva Questions
,practice quizzes
,video lectures
,Objective type Questions
,Sample Paper
,past year papers
,RS Aggarwal Solutions: Exercise 8B - Linear Equations | Mathematics (Maths) Class 8
,Summary
,ppt
,Extra Questions
,Exam
,Free
,Semester Notes
,RS Aggarwal Solutions: Exercise 8B - Linear Equations | Mathematics (Maths) Class 8
,RS Aggarwal Solutions: Exercise 8B - Linear Equations | Mathematics (Maths) Class 8
,Previous Year Questions with Solutions
;
Additional Information about RS Aggarwal Solutions: Exercise 8B - Linear Equations for Class 8 Preparation
RS Aggarwal Solutions: Exercise 8B - Linear Equations Free PDF Download
The RS Aggarwal Solutions: Exercise 8B - Linear Equations is an invaluable resource that delves deep into the core of the Class 8 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the RS Aggarwal Solutions: Exercise 8B - Linear Equations now and kickstart your journey towards success in the Class 8 exam.
Importance of RS Aggarwal Solutions: Exercise 8B - Linear Equations
The importance of RS Aggarwal Solutions: Exercise 8B - Linear Equations cannot be overstated, especially for Class 8 aspirants.
This document holds the key to success in the Class 8 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
RS Aggarwal Solutions: Exercise 8B - Linear Equations Notes
RS Aggarwal Solutions: Exercise 8B - Linear Equations Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to RS Aggarwal Solutions: Exercise 8B - Linear Equations.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, RS Aggarwal Solutions: Exercise 8B - Linear Equations Notes on EduRev are your ultimate resource for success.
RS Aggarwal Solutions: Exercise 8B - Linear Equations Class 8 Questions
The "RS Aggarwal Solutions: Exercise 8B - Linear Equations Class 8 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 8 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study RS Aggarwal Solutions: Exercise 8B - Linear Equations on the App
Students of Class 8 can study RS Aggarwal Solutions: Exercise 8B - Linear Equations alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the RS Aggarwal Solutions: Exercise 8B - Linear Equations,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of RS Aggarwal Solutions: Exercise 8B - Linear Equations is prepared as per the latest Class 8 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup