If the mean of 45, 42, x + 1, x + 3, 62 and 55 is 50, find value of x.

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Solution

$\frac{45 + 42 + x + 1 + x + 3 + 62 + 55}{6} = 50$
$\Rightarrow 2 x = 300 - 208$
$\Rightarrow x = \frac{92}{2} = 46$

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