Question

A line segment 56 cm long is to be divided into two parts in the ratio of 2:5.
Find the length of each part.

Answer 1

Answer:

Let us take 2 and 5 as 2x and 5x

So

5x+2x= 56

7x=56

x=8

Therefore

5x= 5*8=40cm

2x= 2*8=16cm

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Answer 2

Answer:

40 cm and 16 cm

Step-by-step explanation:

Let  

The length of the two parts be 2x cm and 5x cm.

Given

Length of the line segment =56cm

According to the question,

 5x+2x=56

7x=56

x= 56/7

x= 8

Hence,

Length of one segment =5×8 cm=40 cm

Length of the other segment =2×8 cm=16 cm

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