Question

Tìm x

X+1+x+2+x+3+...+x+100=5750

Answer 1

\(X+1+X+2+X+3+...+X+100=5750.\)

\(\left(X+1\right)+\left(X+2\right)+\left(X+3\right)+...+\left(X+100\right)=5750.\)  

\(\Leftrightarrow\left(X+X+X+...+X\right)+\left(1+2+3+...+100\right)=5750.\)

\(100X+5050=5750\) 

\(100X=5750-5050=700\)

\(X=700:100=7\)

Answer 2

(x+1)+(x+2)+(x+3)+........+(x+100)=5750

(x+x+...+x)+(1+2+3+...+100)=5750

(x.100)+(1+100).100:2=5750

(x.100)+5050=5750

x.100=5750-5050

x.100=700

x =700:100

x = 7

Vậy x=7