Đáp án:
$\begin{array}{l}
\dfrac{{2010}}{{x + 1}} = \dfrac{{2010}}{y}\\
\Rightarrow x + 1 = y\\
\Rightarrow \left\{ \begin{array}{l}
x + 1 = y\\
x + 2y = 2335
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
x - y = - 1\\
x + 2y = 2335
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
3y = 2336\\
x = y - 1
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
y = \dfrac{{2336}}{3}\\
x = y - 1 = \dfrac{{2333}}{3}
\end{array} \right.\\
\Rightarrow B = \dfrac{x}{y} = \dfrac{{2333}}{3}:\dfrac{{2336}}{3} = \dfrac{{2333}}{{2336}}
\end{array}$