Question

a line segment of length 68 cm is to be divided into three parts in the ratio of 4:7:6 . Find the length of each part​

Answer 1

Step-by-step explanation:

Total length = 68 cm

Let the number be x

So 4x + 7x + 6x = 68

17x = 68

x = 68/17

x = 4

Length of each part is

4x = 4 x 4 = 16 cm

7x = 7 x 4 = 28 cm

6x = 6 x 4 = 24 cm.

Answer 2

Required AnsweR:-

1) Giving a value:

• 4:7:6 = 4x, 7x, 6x

2) Forming equation:

• 4x + 7x + 6x = 68 cm

3) Finding the value of 'x':

→ 4x + 7x + 6x = 68

→ 17x = 68

→ x = 68/17

= 4

4) Substituting the values:

• 4x = 4 × 4 = 16
• 7x = 7 × 4 = 28
• 6x = 6 × 4 = 24

5) Verification:

→ 4x + 7x + 6x = 68

→ 16 + 28 + 24 = 68

→ 68 = 68

→ LHS = RHS

→ Hence, verified.

Final Answer:-

• Length of Part 1 = 16 cm
• Length of Part 2 = 28 cm
• Length of Part 3 = 24 cm