Question

A 105-inch board is cut into two pieces. Once piece is two times the length of the other. Find the length of the shorter piece.

Answer 1

To solve the problem, you can make a drawing, since this makes it easier to understand the situation. Like this

So you have

`x+2x=105`

And then it only remains, solves for x

`\begin{gathered} x+2x=105 \\ 3x=105 \\ \text{ Divide both sides of the equation by 3} \\ (3x)/(3)=(105)/(3) \\ x=35 \end{gathered}`

Therefore, the length of the shorter piece is 35 inches.