Answer:
12, 8
Step-by-step explanation:
So we have the following things we need to check for:
1. Both wires add up to 20 ft.
2. One wire is 4 ft longer than the other.
In order to do this we can create the following two equations (I'll call the wires a and b)
[tex]a + b = 20\\a = b - 4[/tex]
Next we substitute equation two into equation one and solve for b.
[tex]a + b = 20\\ (b - 4) + b = 20\\ 2b - 4 = 20\\2b - 4 + 4 = 20 + 4\\2b = 24[/tex]
[tex]\frac{2b}{2} = \frac{24}{2}\\b = 12[/tex]
And lastly we solve equation 2 using the new value of b.
[tex]a = b - 4 = 12 - 4 = 8[/tex]
So the wires are 12 and 8 feet.
