SOLUTION: a 100-foot cable is cut into two pieces. the first piece is 18 ft longer than the second. how long is each piece?

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Question 225198: a 100-foot cable is cut into two pieces. the first piece is 18 ft longer than the second. how long is each piece?
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
From the given information:
A%2BB=100
A%2B18=B
Plug the second equation into the first one:
A%2BA%2B18=100
Combine like terms:
2A%2B18=100
Move the 18 to the other side:
2A=82
Divide both sides by 2:
A=41
To get the other length, plug A back into the second equation:
41%2B18=B
B=59
So the lengths of the rope are 41 and 59.