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
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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

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

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

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

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

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.

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

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**Notes****Worksheets****Ncert Solutions**- NCERT Solution Linear equations in One variable Exercise 2.1
- NCERT Solution Linear equations in One variable Exercise 2.2
- NCERT Solution Linear equations in One variable Exercise 2.3
- NCERT Solution Linear equations in One variable Exercise 2.4
- NCERT Solution Linear equations in One variable Exercise 2.5
- NCERT Solution Linear equations in One variable Exercise 2.6

Class 8 Maths Class 8 Science