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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:
Answer
On multiplying both sides by 3
x, we obtain
8
x − 3 = 6
x
Transposing 6x to LHS and 3 to RHS
8
x − 6
x = 3
2
x = 3
Dividing 2 on both the sides
x=3/2
Question 2
Solve:
Answer
On multiplying both sides by 7 − 6
x, we obtain
9
x = 15(7 − 6
x)
9
x = 105 − 90
x
Transposing 90x on LHS
9
x + 90
x = 105
99
x = 105
Dividing 99 on both the sides
x=105/99
Question 3
Solve:
Answer
On multiplying both sides by 9(
z + 15), we obtain
9
z = 4(
z + 15)
9
z = 4
z + 60
Transposing 4z on LHS
9
z − 4
z = 60
5
z = 60
Dividing 5 on both the sides
z = 12
Question 4
Solve
Answer
On multiplying both sides by 5(2 − 6
y), we obtain
5(3
y + 4) = −2(2 − 6
y)
15
y + 20 = − 4 + 12
y
Transposing 12y to LHS and 20 to RHS
15
y − 12
y = − 4 – 20
3
y = −24
Dividing by 3 on both the sides
y = −8
Question 5
Solve:
Answer
On multiplying both sides by 3(
y + 2), we obtain
3(7
y + 4) = −4(
y + 2)
21
y + 12 = − 4
y – 8
Transposing 4y to LHS and 12 to RHS
21
y + 4
y = − 8 − 12
25
y = −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.
Answer
Let the common ratio between their ages be
x. Therefore, Hari’s age and Harry’s age will be 5
x years and 7
x years respectively and four years later, their ages will be (5
x + 4) years and (7
x + 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 = 5
x years = (5 × 4) years = 20 years
Harry’s age = 7
x years = (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.
Answer - Let the numerator of the rational number be
x. Therefore, its denominator will
be
x + 8.
The rational number will be x/(x+8) According to the question
2(
x + 17) = 3(
x + 7)
2
x + 34 = 3
x + 21
34 − 21 = 3
x − 2
x
13 =
x
Numerator of the rational number =
x = 13
Denominator of the rational number =
x + 8 = 13 + 8 = 21
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Class 8 Maths
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