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ozzi
3 years ago
8

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 e

ach part? Show your work.
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

The longer part is <u>45 cm</u> long and the shorter part is <u>25 cm</u> long.

Step-by-step 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.

<em>The length of the shorter part is 25 cm.</em>

Now, substituting the value of x:

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

<em>The length of longer part is 45 cm.</em>

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

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