latex_math_notes/facebook_maths_picture_puzzle.tex

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\documentclass[a4paper,10pt]{article}
\usepackage[utf8]{inputenc}
\newcommand{\theme}{Macdondalds}
\newcommand{\ttt}{D}
\newcommand{\topname}{Drink}
\newcommand{\mmm}{M}
\newcommand{\midname}{Burger}
\newcommand{\bbb}{F}
\newcommand{\botname}{fries}
%opening
\title{}
\author{}
\begin{document}
\maketitle
\begin{abstract}
This small document un~picks the common
facebook maths picture puzzle. % solution
\end{abstract}
\section{Various themes but always the same hidden multiply: this one is the {\theme} maths puzzle etc.}
Where $\ttt$ is a {\topname}, $\mmm$ is a {\midname} and $\bbb$ is {\botname}:
$$ \ttt + \ttt + \ttt = 30 $$
so $\ttt$ == 10
$$ \ttt + \mmm + \mmm = 20 $$
so $\mmm$ == 5
$$ \mmm + \bbb \bbb + \bbb \bbb = 9 $$
so $\bbb \bbb + \bbb \bbb = 4$ therefore $\bbb \bbb=2$ so $\bbb=\pm \sqrt{2}$
Onto the final equation
$$\mmm + \bbb \times \ttt = \; ? $$
As $\bbb$ is $\pm \sqrt{2}$ there are actually two valid answers:
$ 5 + \sqrt{2} \times 10 $ and $ 5 - \sqrt{2} \times 10 $
So the answer is either 19.142 or -9.142.
\vspace{0.5cm}
typeset in {\LaTeX} on {\today}.
\end{document}