A cable 84 meters long is cute into two pieces so that one piece 18 meters longer than the other. find the lenth of each piece of cable.

Let x equal the shorter piece.

x + (x + 18) = 84
2x + 18 = 84
2x = 66
x = 33

To find the length of each piece of cable, we can set up an equation based on the given information.

Let's assume that the length of the shorter piece is "x" meters.

According to the problem, the longer piece is 18 meters longer than the shorter piece. So, the length of the longer piece would be "x + 18" meters.

If we add the lengths of the two pieces together, it should be equal to the total length of the cable, which is 84 meters. Therefore, we can write the equation as:

x + (x + 18) = 84

Now, we can solve this equation to find the value of "x" and then calculate the lengths of the two pieces.

Combining like terms:

2x + 18 = 84

Subtracting 18 from both sides:

2x = 84 - 18
2x = 66

Dividing both sides by 2:

x = 66/2
x = 33

The shorter piece has a length of 33 meters.

To find the length of the longer piece, we can substitute the value of "x" in the equation:

Length of longer piece = 33 + 18
Length of longer piece = 51 meters

So, the length of the shorter piece is 33 meters, and the length of the longer piece is 51 meters.

Let's represent the length of the shorter piece of cable as "x" meters.

According to the given information, the longer piece is 18 meters longer than the shorter piece. Therefore, the length of the longer piece can be represented as "x + 18" meters.

Now, we know that the total length of the cable is 84 meters. So, we can write the equation:

x + (x + 18) = 84

Simplifying the equation, we have:

2x + 18 = 84

Subtracting 18 from both sides of the equation:

2x = 66

Dividing both sides of the equation by 2:

x = 33

So, the length of the shorter piece of cable is 33 meters.

To find the length of the longer piece, we substitute the value of x back into the expression we previously established:

x + 18 = 33 + 18 = 51

Therefore, the length of the longer piece of cable is 51 meters.