Question

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

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Answer 1

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

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

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

`=> 100x+5050=5750`

`=> 100x=700`

`=> x=7`

Answer 2

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

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

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

`100x + 5050 = 5750`

`100x = 5750 - 5050`

`100x = 700`

`x=700:100`

`x=7`