Question

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is each part? Show your work.

Answer 1

The longer part is 45 cm long and the shorter part is 25 cm long.

Explanation:

Given:

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part.

Now, to find the length of each part of the stick.

Let the shorter part be
`x.`

So, the longer part is
`x+20.`

Total length of the stick = 70 cm.

Now, to get the length of each part we solve an equation:

`(x)+(x+20)=70\\\\x+x+20=70\\\\2x+20=70\\\\Subtracting\ both\ sides\ by\ 20\ we\ get:\\\\2x=50\\\\Dividing\ both\ sides\ by\ 2\ we\ get:\\\\x=25.`

The length of the shorter part is 25 cm.

Now, substituting the value of
`x`:

`x+20\\\\=25+20\\\\=45\ cm.`

The length of longer part is 45 cm.

Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.