a cable is cut into 2 pieces. One piece is twice as long as the other piece. Find the length of each piece of cable

To find the length of each piece of cable, let's say the length of the shorter piece is x.

According to the given information, the longer piece is twice as long as the shorter piece. Therefore, the length of the longer piece would be 2x.

Now, we know that when the cable is cut into two pieces, the sum of their lengths remains the same as the length of the original cable. So, we can establish the following equation:

x + 2x = length of the original cable

Simplifying the equation, we have:

3x = length of the original cable

Now, we can solve for x. By dividing both sides of the equation by 3, we get:

x = (length of the original cable) / 3

Therefore, we have determined the length of the shorter piece of cable. To find the length of the longer piece, we can substitute x into the expression 2x:

Length of the longer piece = 2x = 2 * ((length of the original cable) / 3)

Hence, we have found the length of each piece of cable.