From: DeAnna

Question: A 102" board is cut into 2 pieces. One piece is two times the length of the other. Find the lengths of the two pieces.

Hi DeAnna.

The board is cut into two pieces: a short length and a long length. So we'll start by using the letter S to represent the short length and the letter L to represent the long length.

Let's write down what you know from the question:

The two boards together are 102", so S + L = 102.

The long piece is twice the length of the short piece: L = 2timesS

Now we take the first equation and replace L with what L is equal to (the second equation):

S + L = 102
S + ( 2timesS ) = 102.

Now can you solve the rest?