Question

The mean of 7, 9, x + 3, 12, 2x – 1 and 3 is 9. Find the value of x.

Pls give a proper Answer with explanation......... ​

Answer 1

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observations = 7, 9, x + 3, 12, 2x – 1 and 3

mean = 9

$mean = \frac{sum \: of \: observations}{no. \: of \: observations} \\ \\ 9 = \frac{7 + 9 + x + 3 +12+ 2x -1 + 3}{6} \\ \\ 9= \frac{33 + 3x}{6} \\ \\ 54 = 33 + 3x \\ \\ 54 - 33 = 3x \\ \\ 21 = 3x \\ \\ x = 7$