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If the mean of x,x+2,x+4,x+8 is 20 find x.

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If the mean of $x, x + 2, x + 4, x + 8$ is $20$ find $x$ .

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Sebastian Discussed

If the mean of

x, x + 2, x + 4, x + 8

20

find

x

15 mins ago

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15 mins ago

Text solutionVerified

Mean

= \frac{x + x + 2 + x + 4 + x + 8}{4} = 20

\Rightarrow \frac{4 x + 14}{4} = 20

\Rightarrow 4 x + 14 = 80

\Rightarrow 4 x = 80 - 14 = 66

\Rightarrow x = \frac{66}{4} = \frac{33}{2} = 16.5

∴ x = 16.5

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