Question

a line segment is 48 cm long divide it into 2 parts in the ratio 5:7 find the length of each part. step by step​

Answer 1

Answer:

∴  The line segment of $48$ cm is divided in the ratio as $5:7$ as $20$ cm and $28$ cm

Step-by-step explanation:

• In context to question asked,
• We have to divide a line segment is $48$ cm long divide it into two parts in the ratio $5:7$.
• Let, a line segment is divided into two parts $5x$ and $7x$.
• According to given data, the required equation becomes,

           $5x+7x=48$

             ∴ $12x=48$

• Transpose $12$ to other side, we get

              ∴ $x=\frac{48}{12}$

              ∴ $x=4$

• Now, $5x=5\times 4=20$ cm

               $7x=7\times 4=28$ cm

• ∴  The line segment of $48$ cm is divided in the ratio as $5:7$ as $20$ cm and $28$ cm

Answer 2

Answer:

The ratio is 4:3

Let the common multiple be x,

4x+3x=35

7x=35

x=5

as the common multiple is 5 then the respective length of two parts are

4x=4×5=20cm

3x=3×5=15cm.