99 inch pipe is cut into two pieces. One is two times the length of the other. Find the lengths of the two pieces

Let's assume the shorter piece of the pipe is represented by 'x' inches.

According to the given information, the longer piece of the pipe is two times the length of the shorter piece. So, the length of the longer piece can be represented as '2x' inches.

We know that the total length of the pipe is 99 inches. Therefore, the equation representing this is:

x + 2x = 99

Combining like terms, we can simplify the equation:

3x = 99

Dividing both sides of the equation by 3 gives us:

x = 33

So, the shorter piece of the pipe is 33 inches long.

Substituting this value back into our equation, we can find the length of the longer piece:

2x = 2 * 33 = 66

Thus, the longer piece of the pipe is 66 inches long.

To summarize, the lengths of the two pieces of the pipe are 33 inches and 66 inches, respectively.

To find the lengths of the two pieces, we can set up a system of equations. Let's assume that the length of the shorter piece is represented by "x" inches.

According to the problem, the longer piece is two times the length of the shorter piece. Therefore, the length of the longer piece is 2x inches.

The sum of the lengths of the two pieces should be equal to the length of the original pipe, which is 99 inches. So, we can form the following equation:

x + 2x = 99

Combining like terms, we get:

3x = 99

To solve for x, divide both sides of the equation by 3:

x = 99 / 3

x = 33

Therefore, the length of the shorter piece is 33 inches.

To find the length of the longer piece, we substitute the value of x into the expression for the longer piece:

2x = 2 * 33 = 66

Therefore, the length of the longer piece is 66 inches.

So, the lengths of the two pieces are 33 inches and 66 inches, respectively.

Let x = the shorter piece.

x + 2x = 99

3x = 99

x = ?

A 99

​-inch
pipe

is cut into two pieces. One piece is two

times the length of the other. Find the lengths of the two pieces.