Question

A piece of wood is of length 15cm. The length id divided in the ratio 3:2 what is the legth of each part

Answer 1

Solution:

Given: A piece of wood is of length of 15 cm.

To find: To find the length of wood when divided in the ratio of 3:2

Let the ratio be x.
Then,  3x+2x=5x

5x=15
∴x=3

3x=3(3)=9cm
2x=2(3)=6cm.

∴When the wood is divided in the ratio of 3:2 then the length of parts are 9 cm and 6 cm respectively.

Answer 2

let the ratio be 3x and 2x
therefore 3x + 2x = 15
5x = 15
x = 15/5
x= 3 cm
put the value of x = 3
3x = 3(3)
= 9 cm
2x = 2(3)
= 6 cm
length of one part of the piece of wood is 9 cm and the other part is 6 cm