Question

Tìm x biết: x+(x+1)+(x+2)+…+(x+100)=10100

Answer 1

x+(x+1)+(x+2)+…+(x+100)=10100

(x+x+x+..+x)+(1+2+3+...+100)=10100

x.101+5050=10100

x.101=10100-5050

x.101=5050

x=5050:101

x=50

Answer 2

\(x + (x + 1) + (x + 2)+...+ (x + 100) = 10100\)
\(=> (x + x + x + ... + x) + (1 + 2 + ... + 100) = 10100\)
\(=> 101 x + (100 + 1).100 : 2 = 10100\)
\(=> 101x + 101.100 : 2 = 10100\)
\(=> 101x + 5050 = 10100\)
\(=> 101x = 5050\)
\(=> x = 50\)