SOLUTION: A lever 12 m long balances weights of 48 kg on one end and 24 kg on the other end. Find the lengths of the two arms of the lever?

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Question 126261: A lever 12 m long balances weights of 48 kg on one end and 24 kg on the other end. Find the lengths of the two arms of the lever?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
48*x=24(12-x)
48x=288-24x
48x+24x=288
72x=288
x=288/72
x=4m is the length of the arm with the 48kg. weight.
12-4=8m is the other arm.
proof
48*4=24*8
192=192