Given:
A board is 68cm long.
One piece is 18cm longer than the other.
To find:
The length of the longer piece of board.
Explanation:
Since the sum of the two pieces is 68cm.
[tex]x+y=68...........(1)[/tex]The difference between the two pieces is 18.
[tex]x-y=18..........(2)[/tex]Adding (1) and (2) we get,
[tex]\begin{gathered} 2x=86 \\ x=43 \end{gathered}[/tex]Substituting the x-value in equation (1), we get
[tex]\begin{gathered} 43+y=68 \\ y=68-43 \\ y=25 \end{gathered}[/tex]Thus, the longest piece is 43 cm long.
Final answer:
The length of the longest piece is 43 cm.
