Given:
Length of a board = 96 inches
One piece is 24 inches shorter than the other piece.
To find:
The length of each piece.
Solution:
Let x be the length of larger side.
It is given that the one piece is 24 inches shorter than the other piece. So,
Length of the shorter piece = [tex](x-24)[/tex] inches.
Length of the board is 96 inches. So, the sum of both pieces is equal to 96 inches.
[tex]x+(x-24)=96[/tex]
[tex]2x-24=96[/tex]
[tex]2x=96+24[/tex]
[tex]2x=120[/tex]
Divide both sides by 2.
[tex]x=\dfrac{120}{2}[/tex]
[tex]x=60[/tex]
Now,
[tex]x-24=60-24[/tex]
[tex]x-24=36[/tex]
Therefore, the length of two pieces are 60 inches and 36 inches.
