Question

A line segment 60 cm long is to be divided into two parts in the ratio of 3 : 7 Find the length of each part​

Answer 1

Answer:

The line segment is divided into $18$ cm and $42$ cm.

Step-by-step explanation:

Given : Length of a segment = $60$ cm

          The ratio in which segment is to be divided = $3:7$

To find : The length of each part = ?

Solution :

• It is given that the length of a segment = $60$ cm

          The ratio in which segment is to be divided = $3:7$

• We have to find the length of each part.
• Let, the segment is to be divided into $3x$  and $7x$.
• To find the length of each part, the equation becomes,

                    $3x+7x=60$

                       ∴ $10x=60$

                         ∴ $x=\frac{60}{10}$

                         ∴ $x=6$

• ∴ $3x=3*6=18$ cm

         $7x=7*6=42$ cm

• ∴ The line segment is divided into $18$ cm and $42$ cm.

Answer 2

Here the total length of the line segment is given to be 60 cm

Now, this line is divided in the ratio 3:7

We have to find the length of each part

Let the length of each part be 3x and 7x

Then, 3x + 7x = 60

                   10x = 60

                      x = 60/10

                      x = 6

So, 3x = 3 × 6

          = 18

    7x = 7 × 6

          = 42

Hence, the length of each part will be 18 cm and 42 cm respectively