SOLUTION: Find s and w. (s-w)27=540 (s+w)15=540

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Question 179212: Find s and w.
(s-w)27=540
(s+w)15=540
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
(s-w)27=540
27s-27w=540
(s+w)15=540
15s+15w=540
27s-27w=15s+15w
27s-15s=15w+27w
12s=42w
s=42w/12
(42w/12-w)27=540
(42w*27)/12w-27w=540
1134w/12-27w=540
1134/12-27w*12/12=540
1134w/12-324w/12=540
810w/12=540
810w=540*12
810w=6480
w=6480/810
w=8 ans.
s=42*8/12
s=336/12
s=28 ans.