Question

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

Answer 1

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

\(\Leftrightarrow\) 100.x +(1+2+...+100) =5750

\(\Leftrightarrow\) 100.x +5050       =5750

\(\Leftrightarrow\) 100x        =5750-5050

\(\Leftrightarrow\) 100.x =700

\(\Leftrightarrow\)x=700: 100

\(\Leftrightarrow\) x =7

 Vậy x=7

Answer 2

Có 100 nhóm nên có 100 số x

(x+x+...+x)+(1+2+3+4+...+100)=5750

x.100 + 5050=5750

x.100=5750-5050

x.100=700

x=700:100

x=7

Answer 3

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

( x x + x + x + ... + x ) + ( 1 + 2 + 3 + 4 + ... + 100 ) = 5750

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

100x + 101 x 50 = 5750

100x + 5050 = 5750

100x = 5750 - 5050

100x = 700

x = 700 : 100

x = 7

Answer 4

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

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

=> 100x + [ (100 : 2 ) . ( 100 + 1 ) ] = 5750

=> 100x + [ 50 . 101 ] = 5750

=> 100x + 5050 = 5750

=> 100x = 5750 - 5050

=> 100x = 700

=> x = 700 : 100

=> x = 7

Vậy : x = 7

Answer 5

(x+1)+(x+2)+......+(x+100)=x+1+x+2+........+x+100=100x+(1+2+3+....+100)=\(100x+\frac{101\cdot100}{2}=100x+5050=5750\)

=>100x=5750-5050=700=>x=7

Answer 6

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

=>x+1+x+2+..........+x+100=5750

=>x+x+...+x+1+2+....100  <chú ý: có 100 số x>

=>100x+5050=5750

=>100x=5750-5050

=>100x=700

=>x=700/100

=>x=7

vậy:x=7

Answer 7

mot trong nhung con so do