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puzzle.tex
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\documentclass[a4paper,10pt]{article}
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\title{A mother is 21 years older than the child. 6 years from now the mother will be 5 times as old as the child.
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Question: Where is the father ? }
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\author{A. Puzzle}
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\begin{document}
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\maketitle
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\begin{abstract}
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Spoiler alert ! Do not read if you want to work it out yourself.
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\end{abstract}
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answer overleaf...
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\clearpage
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\paragraph{The answer....}
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Mother is 21 years older than child so, using $m$ for the age of the mother and $c$
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for the age of the child.
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$$ c + 21 = m $$
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\begin{equation}
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\label{s1}
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c = m - 21
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\end{equation}
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In 6 years time the mother is 5 times older than the child SO...
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$$ 5(c+6) = m + 6 $$
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So
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$$ 5c + 30 = m + 6 $$
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\begin{equation}
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\label{s2}
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5c = m - 24
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\end{equation}
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Subtracting Equation (\ref{s1}) {\em from} Equation (\ref{s2}) gives:
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$$ 5c - c = m - m -24 - (-21) $$
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$$ 4c = -3 $$
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$$ c = -3/4 $$
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The baby is therefore -0.75 years old at present.
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which is -9 months. So the Baby is being conceived, so we know where the father is afterall!
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\end{document}
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