Question

A board is 68 centimeters long. Kelly cut the board into two pieces, with one piece 18centimeters longer than the other. Find the length of the longer piece of board.

Answer 1

Given:

A board is 68cm long.

One piece is 18cm longer than the other.

To find:

The length of the longer piece of board.

Step-by-step explanation:

Since the sum of the two pieces is 68cm.

`x+y=68...........(1)`

The difference between the two pieces is 18.

`x-y=18..........(2)`

Adding (1) and (2) we get,

`\begin{gathered} 2x=86 \\ x=43 \end{gathered}`

Substituting the x-value in equation (1), we get

`\begin{gathered} 43+y=68 \\ y=68-43 \\ y=25 \end{gathered}`

Thus, the longest piece is 43 cm long.

Final answer:

The length of the longest piece is 43 cm.