63 inch pipe is cut in to two pieces. one piece is two times the length of the other. what is the length of the two pieces.
x + 2x = 63
3x = 63
x = 21
divide the pipe into thirds.
How long is 1/3 of the pipe?
The two pieces are 1/3 and 2/3 of the original length
Let's say the length of the smaller piece is x inches. Since the other piece is two times the length of the smaller piece, the length of the larger piece would be 2x inches.
According to the given information, the sum of the lengths of the two pieces is equal to the length of the original pipe, which is 63 inches.
So, we can set up the equation:
x + 2x = 63
Simplifying the equation:
3x = 63
Dividing both sides by 3:
x = 21
Therefore, the length of the smaller piece is 21 inches, and the length of the larger piece is 2x = 2 * 21 = 42 inches.
To find the lengths of the two pieces, let's assume the length of the shorter piece is x inches. Since the longer piece is two times the length of the shorter piece, its length would be 2x inches.
According to the information provided, the total length of the pipe is 63 inches. So, we can set up an equation to solve for x:
x + 2x = 63
Combining like terms, we have:
3x = 63
To isolate x, we will divide both sides of the equation by 3:
x = 63 / 3
Simplifying further:
x = 21
Therefore, the length of the shorter piece is 21 inches, and the length of the longer piece is 2 times 21, which is 42 inches.