Question

[x+1]+[x+2]+[x+3]+...[x+100]=7050

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Answer 1

\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+100\right)=7050\)

\(\Rightarrow x+x+...x+1+2+3+...+100=7050\)

\(\Rightarrow50x+\dfrac{50.51}{2}=7050\)

\(\Rightarrow50x+1275=7050\)

\(\Rightarrow50x=5775\Rightarrow x=\dfrac{5775}{50}=\dfrac{1155}{2}\)