Question

if the arithmetic

mean between 3x and 2x - 7 is X + 4 then find x

Answer 1

Mean = $\frac{sum of observations}{number of observations}$



x + 4 = $\frac{3x + 2x - 7 }{2}$

2(x + 4) = 3x + 2x - 7 

2x + 8 = 5x - 7 

8 + 7 = 5x - 2x 

15 = 3x 

$\frac{15}{3} = x$

5 = x 

Answer 2

Hello friends!!

Here is your answer :

Mean

$\\ = > \frac{sum \: \: of \: \: all \: \: observations \: }{total \: \: number \: \: of \: \: observation}$


Observations are 3x and 2x - 7

Mean = x + 4


$\\ x + 4 = \frac{3x + 2x - 7}{2}$



$2(x + 4) = 5x - 7$


$2x + 8 = 5x - 7$


$2x - 5x = - 7 - 8$


$- 3x = - 15$


$3x = 15$


$\\ x = \frac{15}{3}$


$x = 5$

Hope it helps you... ^_^

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