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