## RS Aggarwal Class 7 Solutions Chapter 7 Linear Equations in One Variable Ex 7C

These Solutions are part of RS Aggarwal Solutions Class 7. Here we have given RS Aggarwal Solutions Class 7 Chapter 7 Linear Equations in One Variable Ex 7C.

**Other Exercises**

- RS Aggarwal Solutions Class 7 Chapter 7 Linear Equations in One Variable Ex 7A
- RS Aggarwal Solutions Class 7 Chapter 7 Linear Equations in One Variable Ex 7B
- RS Aggarwal Solutions Class 7 Chapter 7 Linear Equations in One Variable Ex 7C
- RS Aggarwal Solutions Class 7 Chapter 7 Linear Equations in One Variable CCE Test Paper

**Objective Questions :**

**Mark (✓) against the correct answer in each of the following :**

**Question 1.**

**Solution:**

(d)

**Question 2.**

**Solution:**

(d)

**Question 3.**

**Solution:**

(a)

2n + 5 = 3 (3n – 10)

⇒ 2n + 5 = 9n – 30

⇒ 9n – 2n = 5 + 30

⇒ 7n = 35

⇒ n = 5

**Question 4.**

**Solution:**

(c)

**Question 5.**

**Solution:**

(c)

8 (2x – 5) – 6 (3x – 7) = 1

⇒ 16x – 40 – 18x + 42 = 1

⇒ -2x + 2 = 1

⇒ -2x = 1 – 2 = -1

x = \(\frac { 1 }{ 2 }\)

**Question 6.**

**Solution:**

(d)

**Question 7.**

**Solution:**

(a)

**Question 8.**

**Solution:**

(b)

Let first whole number=x

Then second number = x + 1

and sum = 53

x + x + 1 = 53

⇒ 2x = 53 – 1

⇒ 2x = 52

⇒ x = 26

Smaller number = 26

**Question 9.**

**Solution:**

Let first even number = 2x

Then second number = 2x + 2

and sum = 86

2x + 2x + 2 – 86

⇒ 4x = 86 – 2 = 84

⇒ x = 21

Larger even number = 2x + 2 = 2 x 21 + 2 = 42 + 2 = 44

**Question 10.**

**Solution:**

(b)

Let first odd number = 2x + 1

Second number = 2x + 3

2x + 1 + 2x + 3 = 36

⇒ 4x + 4 = 36

⇒ 4x = 36 – 4 = 32

⇒ x = 8

Smaller number = 2x + 1 = 2 x 8 + 1 = 16 + 1 = 17

**Question 11.**

**Solution:**

(d)

Let number = x

2x + 9 = 31

⇒ 2x = 31 – 9 = 22

⇒ x = 11

**Question 12.**

**Solution:**

(a)

Let number = x then

3x + 6 = 24

⇒ 3x = 24 – 6 = 18

⇒ x = 6

Number = 6

**Question 13.**

**Solution:**

(a)

**Question 14.**

**Solution:**

(b)

Let first angle = x

Then second = 90° – x

x – (90° – x) = 10

⇒ x – 90° + x = 10°

⇒ 2x = 10° + 90° = 100°

x = 50°

Second angle = 90° – 50° = 40°

Larger angle = 50°

**Question 15.**

**Solution:**

(b)

Let first angle = x

Then second = 180° – x

x – (180° – x) = 20°

⇒ x – 180° + x = 20°

⇒ 2x = 20° + 180° = 200°

x = 100°

Second angle = 180° – 100° = 80°

Smaller angle = 80°

**Question 16.**

**Solution:**

(c)

Let age of A = 5x

Then age of B = 3x

After 6 years,

A’s age = 5x + 6

and B’s age = 3x + 6

\(\frac { 5x + 6 }{ 3x + 6 }\) = \(\frac { 7 }{ 5 }\)

⇒ 25x + 30 = 21x + 42

⇒ 25x – 21x = 42 – 30

⇒ 4x = 12

⇒ x = 3

A’s age = 5x = 5 x 3 = 15 years

**Question 17.**

**Solution:**

(b)

Let the number = x

According to the condition,

5x = 80 + x

⇒ 5x – x = 80

⇒ 4x = 80

⇒ x = 20

Number = 20

**Question 18.**

**Solution:**

(c)

Let width of rectangle = x m

Then length = 3x m

Perimeter = 96 m

2 (x + 3x) = 96

⇒ x + 3x = \(\frac { 96 }{ 2 }\) = 48

⇒ 4x = 48

⇒ x = 12

Length = 3x = 12 x 3 = 36 m

Hope given RS Aggarwal Solutions Class 7 Chapter 7 Linear Equations in One Variable Ex 7C are helpful to complete your math homework.

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