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1/a+1/b = 1/12
1/b+1/c = 1/15
1/a+1/c = 1/20
1/b-1/c=1/12-1/20
1/b=1/30+1/c
1/30+2/c=1/15
1/c=(1/15-1/30)/2 = 1/60
1/b = 1/15-1/60 = 1/20
1/a = 1/12-1/20 = 1/30
1/a+1/b+1/c = 1/10