 # NCERT Solutions for Linear equations Class 8 Chapter 2 Exercise 2.6

## NCERT Solutions for Linear equations Class 8 Maths Chapter 2 Exercise 2.6

In this page we have NCERT book Solutions for Class 8th Maths:Linear equations Chapter 2 Exercise 2.6 for EXERCISE 6 . Hope you like them and do not forget to like , social share and comment at the end of the page. Question 1
Solve:  On multiplying both sides by 3x, we obtain
8x 3 = 6x
Transposing 6x to LHS and 3 to RHS
8x 6x= 3
2x= 3
Dividing 2 on both the sides
x=3/2

Question 2
Solve:  On multiplying both sides by 7 6x, we obtain
9x= 15(7 6x)
9x= 105 90x
Transposing 90x on LHS
9x+ 90x= 105
99x= 105
Dividing 99 on both the sides
x=105/99

Question 3
Solve  On multiplying both sides by 9(z+ 15), we obtain
9z= 4(z+ 15)
9z= 4z+ 60
Transposing 4z on LHS
9z 4z= 60
5z= 60
Dividing 5 on both the sides
z= 12

Question 4
Solve  On multiplying both sides by 5(2 6y), we obtain
5(3y+ 4) = 2(2 6y)
15y+ 20 = 4 + 12y
Transposing 12y to LHS and 20 to RHS
15y 12y= 4 – 20
3y= 24
Dividing by 3 on both the sides
y= 8

Question 5
Solve:  On multiplying both sides by 3(y+ 2), we obtain
3(7y+ 4) = 4(y+ 2)
21y+ 12 = 4y - 8
Transposing 4y to LHS and 12 to RHS
21y+ 4y= 8 12
25y= 20
Dividing by 25 on both the sides
y=-20/25=-4/5

Question 6
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages.
Let the common ratio between their ages bex. Therefore, Hari’s age and Harry’s age will be 5xyears and 7xyears respectively and four years later, their ages will be (5x+ 4) years and (7x+ 4) years respectively.
According to the situation given in the question, Multiplying both the sides by 4(7x+4)
4(5x+4)=3(7x+4)
20x+16=21x+12
Transposing 20x to RHS and 12 to LHS
4=x
x=4
Hari’s age = 5xyears = (5 × 4) years = 20 years
Harry’s age = 7xyears = (7 × 4) years = 28 years
Therefore, Hari’s age and Harry’s age are 20 years and 28 years respectively.

Question 7
The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2 . Find the rational number.
Let the numerator of the rational number bex. Therefore, its denominator will
bex+ 8.
The rational number will be x/(x+8) According to the question 2(x+ 17) = 3(x+ 7)
2x+ 34 = 3x+ 21
34 21 = 3x 2x
13 =x
Numerator of the rational number =x= 13
Denominator of the rational number =x+ 8 = 13 + 8 = 21

Reference Books for class 8 Math

Given below are the links of some of the reference books for class 8 Math.

1. Mathematics Foundation Course for JEE/Olympiad : Class 8 This book can take students maths skills further. Only buy if child is interested in Olympiad/JEE foundation courses.
2. Mathematics for Class 8 by R S Aggarwal Detailed Mathematics book to clear basics and concepts. I would say it is a must have book for class 8 student.
3. Pearson Foundation Series (IIT -JEE / NEET) Physics, Chemistry, Maths & Biology for Class 8 (Main Books) | PCMB Combo : These set of books could help your child if he aims to get extra knowledge of science and maths. These would be helpful if child wants to prepare for competitive exams like JEE/NEET. Only buy if you can provide help to the child while studying.
4. Reasoning Olympiad Workbook - Class 8 :- Reasoning helps sharpen the mind of child. I would recommend students practicing reasoning even though they are not appearing for Olympiad.

You can use above books for extra knowledge and practicing different questions.

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