1)(1+x)+(2+x)+(3+x)+.....+(22+x)=77
=>1+x+2+x+.....+22+x=77
=>22.x+(1+2+3+.....+21+22)=77
=>22.x+253=77
=>22x=77-253
=>22x=-176
=>x=-8
1) \(\left(1+x\right)+\left(2+x\right)+\left(3+x\right)+....+\left(22+x\right)=77\)(22 cặp)
\(\Rightarrow1+x+2+x+3+x+......+22+x=77\)
\(\Rightarrow\left(1+2+3+.....+22\right)+\left(x+x+x+....+x\right)=77\)(22 số x)
\(\Rightarrow\left[\left(22+1\right).22:2\right]+22x=77\)
\(\Rightarrow253+22x=77\Rightarrow22x=77-253\Rightarrow22x=-176\Rightarrow x=-8\)
2)\(102:x-7,5:x=27\) \(\Leftrightarrow102.\frac{1}{x}-7,5.\frac{1}{x}=27\)
\(\Rightarrow\frac{1}{x}\left(102-7,5\right)=27\)\(\Rightarrow\frac{1}{x}.94,5=27\)\(\Rightarrow\frac{1}{x}=27:94,5\Rightarrow\frac{1}{x}=\frac{2}{7}\Rightarrow x=1:\frac{2}{7}\Rightarrow x=\frac{7}{2}=3,5\)