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Question

Find the value of $n$ if $(\frac{n^{2}}{3}) : (\frac{n}{3}) = 11 : 1$

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Solution

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$(\frac{n^{2}}{3}) = (\frac{n}{3}) = 11 : 11$
The value of $n$ ?
$\frac{(\frac{n^{2}}{3})}{(\frac{n}{3})} = \frac{11}{1}$
$\frac{n^{2}}{n} = \frac{11}{1}$
$\frac{n}{1} = \frac{11}{1} \Rightarrow n = 11$

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