diff --git a/facebook_maths_picture_puzzle.tex b/facebook_maths_picture_puzzle.tex index dcf65d1..c7ca6d7 100644 --- a/facebook_maths_picture_puzzle.tex +++ b/facebook_maths_picture_puzzle.tex @@ -1,5 +1,12 @@ \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{} @@ -10,31 +17,29 @@ \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: McDonalds maths puzzle etc.} +\section{Various themes but always the same hidden multiply: this one is the {\theme} maths puzzle etc.} -Where $D$ is a drink, $B$ is a burger and $F$ is fries: +Where $\ttt$ is a {\topname}, $\mmm$ is a {\midname} and $\bbb$ is {\botname}: -$$ D + D + D = 30 $$ -so $D$ == 10 -$$ D + B + B = 20 $$ -so $B$ == 5 -$$ B + FF + FF = 9 $$ -so $FF + FF = 4$ therefore $FF=2$ so $F=\pm \sqrt{2}$ +$$ \ttt + \ttt + \ttt = 30 $$ +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 -$$B + F \times D = \; ? $$ - -As $F$ is $\pm \sqrt{2}$ - -there are two valid answers +$$\mmm + \bbb \times \ttt = \; ? $$ +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}