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Linear Equation in 2 Variables

Find the valu...

Question

Find the value of $n$ if
$(n + 1)! = 20 (n - 1)!$

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Solution

$(n + 1)! = 20 (n - 1)!$
$\Rightarrow (n) (n + 1) = 20 = 5 \times 4$
$\Rightarrow n = 4$

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