**GSEB Solutions for Class 8 Mathematics – Equation ****(English Medium)**

GSEB SolutionsMathsScience

**Exercise **

**Solution 1(1):**

**Solution 1(2):**

**Solution 1(3):**

**Solution 1(4):**

**Solution 1(5):**

**Solution 2(1):**

**Solution 2(2):**

**Solution 2(3):**

**Solution 2(4):**

**Practice 1**

**Solution 1:**

**Solution 2:**

**Solution 3:**

**Solution 4:**

**Solution 5:**

**Solution 6:**

**Solution 7:**

**Solution 8:**

**Solution 9:**

**Solution 10:**

**Solution 11:**

**Solution 12:**

**Practice 2**

**Solution 1:**

**Solution 2:**

**Solution 3:**

**Solution 4:**

**Solution 5:**

**Solution 6:**

**Solution 7:
**Let the present age of Ravi be x years.

∴ Present age of his father = 4x years

After 10 years,

Ravi’s age = (x + 10) years and

Age of his father = (4x + 10) years

At that time, the age of Ravi’s father will be three times the age of Ravi.

∴ (4x + 10) = 3(x + 10)

∴ 4x + 10 = 3x + 30

∴ 4x – 3x = 30 – 10

∴ x = 20

Then, 4x = 4 × 20 = 80

Thus, Ravi’s present age is 20 years and that of his father is 80 years.

**Practice 3**

**Solution 1(1):
**4x + 13 = 3x + 15

∴ 4x – 3x = 15 – 13

∴ x = 2

∴ The solution of the equation is x = 2.

**Solution 1(2):**

**Solution 1(3):
**y + 18 = 2y – 7

∴ y – 2y = -7 – 18

∴ -y = -25

∴ y = 25

∴ The solution of the equation is x = 25.

**Solution 1(4):**

**Solution 1(5):**

**Solution 1(6):**

**Solution 1(7):**

**Solution 2(1):**

**Solution 2(2):**

**Solution 2(3):
**Let the number of students in the class be x.

Number of chocolates received by each student = 7

∴ Number of chocolate = 7x

If there were 5 more students, then number of students = (x + 5)

Then, number of chocolates received by each student

= 7 – 1

= 6

Now, number of chocolates = 6(x + 5)

∴ 7x = 6(x + 5)

∴ 7x = 6x + 30

∴ 7x – 6x = 30

∴ x = 30

Thus, there are 30 students in the class.

**Solution 2(4):**

**Practice 4**

**Solution 1(1):**

**Solution 1(2):**

**Solution 1(3):**

**Solution 1(4):**

**Solution 1(5):**

**Solution 1(6):**

**Solution 1(7):**

**Solution 1(8):**

**Solution 1(9):**

**Solution 1(10):**

**Solution 1(11):**

**Solution 1(12):**

**Practice 5**

**Solution 1:**

**Solution 2:**

**Solution 3:**

**Solution 4:**

**Solution 5:**

**Solution 6:**