abc+bca+cab=666 <=>111.(a+b+c)=666<=>a+b+c=6 mà a>b>c>0=>a=3,b=2,c=1
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Chép đề bài.
\(\Rightarrow\left(100a+10b+c\right)+\left(100b+10c+a\right)+\left(100c+10a+b\right)=666\)
\(\Rightarrow\left(100a+10a+a\right)+\left(100b+10b+b\right)+\left(100c+10c+c\right)=666\)
\(\Rightarrow111a+111b+111c=666\)
\(\Rightarrow111\left(a+b+c\right)=666\)
\(\Rightarrow a+b+c=666:111=6\)
\(\Rightarrow a+b+c=3+2+1\)
\(\Rightarrow a=3,b=2,c=1\)
Vậy \(abc=321\)
Chúc bạn học tốt !!!
