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.

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

So, the longer part is

Total length of the stick = 70 cm.

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

The length of the shorter part is 25 cm.

Now, substituting the value of :

The length of longer part is 45 cm.

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

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step-by-step explanation: