SOLUTION: Please solve this Problem.... 1. A lever 24 meter long balances weights of 96 kg on one end and 48 on the other end.Find the lengths of the two arms of the lever. Thanks

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Question 85383: Please solve this Problem....

1. A lever 24 meter long balances weights of 96 kg on one end and 48 on the other end.Find the lengths of the two arms of the lever.

Thanks a lot....
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!

Let x=length of arm on 96kg side
And y=length of arm on 48kg side
Then 96x=48y or
2x=y---------------------------------eq1
Now we are told that x+y=24------------------------------eq2
From eq1, substitute y=2x into eq2 and we have:
x+2x=24 collect like terms
3x=24
x=8m-------------------------length of arm on 96 kg side
substitute x=8 into eq1 and we get
2*8=y or
y=16m--------------------------length of arm on 48kg side

Hope this helps---ptaylor