Question

A line segment of 24 cm is divided in the ratio 5:3. Find the length of each segment

Answer 1

Answer:

15 cm and 3 cm

Step-by-step explanation:

let the ratio be x

Ratio = 5:3

Now....,,,

5x + 3x = 24cm

8x = 24cm

x = 24/8

x = 3 cm

Now , 5x = 5 × 3

= 15 cm

and, 3x = 3 × 3

= 9 cm . .........

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Answer 2

Answer:

1st line segment = 15cm | 2nd line segment = 9cm

Step-by-step explanation:

Let the ratio of 5:3 = 5x:3x

∴ 24cm = 5x+3x

             = 8x

∴ 8x = 24cm

∴ x = 24/8

     = 3cm

∴ 1st ratio = 5x

                = 5(3)

                = 15cm

∴ 2nd ratio = 3x

                   = 3(3)

                    = 9cm