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\begin{center}
{\Large Fun Math Problems - Part 2}
\end{center}

\bigskip

\textit{These problems are mostly from my high school math teacher, \textbf{%
Prof. Lajos Posa} who is a well known mathematician/math teacher in
Budapest. It is difficult to find words that describe his talent and
dedication. So I just let the problems speak for themselves.}

\textit{\bigskip }\bigskip

\begin{enumerate}
\item Two mathematicians, A and B are having a conversation. B has three
children. A asks him how old the children are. B tells A that the product of
his children's age is $72$. A says "I still don't know how old they are." B
tells A the sum of the kids' ages. A says "I still don't know how old they
are." Then B tells A that the youngest child has red hair. Now A knows the
age of the kids. Do you?

\item (This is a well known topology problem, and I heard it from my high
school student, Eric.) Connect three buildings with the three utilities
shown on the picture below. Each building has to be connected to all three
utilities, in two dimension, and no two utilities pipe can cross each other.

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\item There is a very difficult track in a mountain area, where the world
record of driving a lap is $15$ miles per hour average velocity. A race car
driver announces that he intends to beat this record and run the course with
an average velocity of $30$ miles per hour. As he is driving, his progress
is monitored. At the half of the track, his average velocity was $15$ miles
per hour. In spite of this, he arrives at the finish just a few seconds too
late to have an average velocity of $30$ miles per hour. His funeral was
three days later. How did he die?

\item This problem was told me by my student, Ramon Gozales. \ The triangle
below has angles $50^{\circ }$, $80^{\circ }$, and $80^{\circ }$ as shown on
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\end{enumerate}

We measure up $10^{\circ }$ and $30^{\circ }$ from the base as shown on the
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Click \href{part1.pdf}{ here } to get back to the previous page.

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