25-foot long board is to be cut into two parts. the longer part is one foot more than twice the shorter part. how long is each part?

To solve this problem you must apply the following proccedure:

 1. You have that 25-foot long board is to be cut into two parts. Then, the first equation is:

 a+b=25

 2. The longer part is one foot more than twice the shorter part:

 a=1+2b

 3. The system of equation is:

 a+b=25
 a=1+2b

 4. When you solve it, you obtain:

 a=25-b

 25-b=1+2b
 25-1=2b+b
 24/3=b
 b=8 ft

 a=1+2(8)
 a=17 ft