Question

Aflati cifra x stiind ca: x,(34)+3,(4x)+4,(x3)=x+8

Answer 1

 $x,(34)=\frac{\overline{x34}-x}{99}=\frac{100x+34-x}{99}=\frac{99x+34}{99}\;;\\ 3,(4x)=\frac{\overline{34x}-3}{99}=\frac{340+x-3}{99}=\frac{337+x}{99}\;;\\ 4,(x3)=\frac{400+10x+3-4}{99}=\frac{399+10x}{99}\;;$
↓
[tex]\frac{99x+34}{99}+\frac{337+x}{99}+\frac{399+10x}{99}=x+8\;\;|_{\cdot99}\\ 99x+34+337+x+399+10x=99x+792\;\\ 11x=22\;\;\rightarrow\;\;\fbox{x=2}[/tex]