[tex]Fie \ aceste \ numere \ \bold{a, \ b, \ c, \ d, \ e}. \ Atunci: \\ b=a+1 \\ c=b+1=a+2 \\ d=c+1=b+2=a+3 \\ e=d+1=c+2=b+3=a+4 \\ a+b+c+d+e=105 \\ \Rightarrow \ a+a+1+a+2+a+3+a+4=105 \\ 5a+10=105 \\ \Rightarrow 5a=105-10=95 \\ \Rightarrow \boxed{a=\frac{95}{5}=\boxed{19}} \\ \Rightarrow \ \boxed{b=\boxed{20}, \ c=\boxed{21}, \ d=\boxed{22}, \ e=\boxed{23}}[/tex]
