Question 8
If $x$ is a real number that satisfies
$$\left\lfloor x+\frac{11}{100}\right\rfloor+\left\lfloor x+\frac{12}{100}\right\rfloor+\cdots+\left\lfloor x+\frac{99}{100}\right\rfloor=765,$$
find the value of $\lfloor100x\rfloor$. Here $\lfloor a\rfloor$ denotes the largest integer $\le a$.
$$\left\lfloor x+\frac{11}{100}\right\rfloor+\left\lfloor x+\frac{12}{100}\right\rfloor+\cdots+\left\lfloor x+\frac{99}{100}\right\rfloor=765,$$
find the value of $\lfloor100x\rfloor$. Here $\lfloor a\rfloor$ denotes the largest integer $\le a$.