A 42 in board that cut into 2 pieces. One piece is two times the length than others. Find the length of two pieces.Short and long

3x = 42

x = 14
2x = 28

To find the lengths of the two pieces, we'll set up a system of equations based on the given information.

Let's assume the length of one piece is 'x' units.

According to the problem, the other piece is two times the length of the first piece, so its length would be 2x units.

The total length of the two pieces is given as 42 units, so we can set up the following equation:

x + 2x = 42

Simplifying the equation:

3x = 42

Dividing both sides by 3:

x = 14

So, the length of the shorter piece is 14 units.

Now, we can find the length of the longer piece by substituting the value of x into the equation:

2x = 2 * 14 = 28

Therefore, the length of the longer piece is 28 units.

To summarize:
- The length of the shorter piece is 14 units.
- The length of the longer piece is 28 units.