\(\left(y+1\right)+\left(y+2\right)+\left(y+3\right)+...+\left(y+100\right)=5750\)
\(\Leftrightarrow\left(y+y+y+...+y\right)+\left(1+2+3+...+100\right)=5750\)
\(\Leftrightarrow100y+5050=5750\)
\(\Leftrightarrow100y=5750-5050\)
\(\Leftrightarrow100y=700\)
\(\Leftrightarrow y=700\div100\)
\(\Leftrightarrow y=7\)
Vậy y = 7
y+1+y+2+y+3+.......+y+100=5750
(y+y+y+....+y)+(1+2+3+......100)=5750
100 chữ số y
100*y+5050=5750
100*y=5750-5050
100*y=700
y=700/100
y=7
(y+1)+(y+2)+(y+3)+..........+(y+100)=5750
100y+(1+2+3+..........+100)=5750
100y+5050=5750
100y =5750-5050
100y =700
y =700:100
y =7
\(y+1+y+2+y+3+.....+100=5750\)
\(y\times\left(1+2+3+.....100\right)=5750\)
\(y\times\left(\left(1+100\right)+\left(2+99\right)+.....\right)=5750\)
\(y\times\left(101\times50\right)=5750\)
\(y\times5050=5750\)
\(y=5750:5050\)
\(y=\frac{5750}{5050}\)
Vậy \(y=\frac{5750}{5050}\)
