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