\documentclass{article}
\usepackage{mwe} % new package from Martin scharrer
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\includecomment{Answer}

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\begin{document}

\section*{Problem 1}

\paragraph*{a) } Prove that donkeys can fly if and only if they have more arms than penguins. \medskip

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Q.E.D
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\newpage

\section*{Problem 2}

\paragraph*{a) } If $(x+y)^2=99$ and $x^2+y^2 = 11$ what is $x\cdot y$? \medskip

\begin{Answer}
\begin{mdframed}[style=mystyle]
\lipsum[2] 
\begin{align*}
(x+y)^2 & = 99 \\
x^2 + y^2 + 2x\cdot y & = 99 \\
x\cdot y & = 44 \\
\end{align*} 
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Q.E.D 
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\end{Answer}
\medskip
Now is it posible finding $x-y$ from the information above? \medskip

\begin{Answer}
\lipsum[6]
Therefore it is not possible finding $x-y$ from the information given.
\end{Answer}

\end{document}