**Download NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.6**

**NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.6 – Linear Equation in one variable, has been designed by the NCERT to test the knowledge of the student on the topic – Equations Reducible to the Linear Form**

**Solve the following equations.**

**1. **

**Solution:**

By cross-multiplication, we get

x =

**2. **

**Solution:**

By cross-multiplication, we get

9x = 15(7 – 6x)

9x=105 – 90x

9x + 90x = 105

99x = 105

x = =

**3. **

**Solution:**

By cross-multiplication, we get

z x 9 = 4(z + 15)

9z = 4z + 60

9z – 4z = 60

5z = 60

z =

z = 12

**4.**

**Solution:**

By cross-multiplication, we get

(3y+4)x5 = -2x(2-6y)

15y+20=-4+12y

15y-12y=-20-4

3y=-24

y =

y=-8

**5. **

**Solution:**

By cross-multiplication, we get

3 x (7y+4) = -4 x (y+2)

21y + 12 = -4y – 8

21y + 4y = -12 – 8

25y = -20

y =

y =

**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.**

**Solution:**

Let, present ages of Hari and Harry be 5x and 7x

As given in the question,

Four years from now the ratio of their ages will be 3:4

[ By cross-multiplication ]

Hence, present ages of Hari and Harry are 5 x 4 = 20 years and 7 x 4 = 28 years respectively

**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 ****. Find the rational number.**

**Solution:**

Let, Numerator of rational number be x

Therefore, denominator will be 8+x

As given in the question,

Numerator is increased by 17 and Denominator is decreased by 1

[ By cross-multiplication ]

Hence, Rational number = = =

**The next Exercise for** **NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.1 – Understanding Quadrilaterals can be accessed by clicking here**

**Download NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.6**

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