Question

if mean of x,x+2,x+4,x+6and x+8 is 24.find the value of x.
▪️0.2
▪️20
▪️30
▪️0.5​

Answer 1

Given

• Mean of x,x+2,x+4,x+6and x+8 is 24

To find

• Find the value of x

Solution

As we know that

→ Mean = sum of the terms / number of terms

★According to the question

→ 24 = x + (x + 2) + (x + 4) + (x + 8)/4

→ 24 × 4 = x + x + 2 + x + 4 + x + 8

→ 96 = 4x + 14

→ 96 - 14 = 4x

→ 4x = 82

→ x = 82/4 = 41/2

Hence,

• Value of x is 41/2

Answer 2

Step-by-step explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

• The mean of x , x+2, x+4, x+6 and x+8 is 24

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• The value of x

${\green{\underline{\underline{\bold{Solution:-}}}}}$

》Given Mean = 24

》The terms = x, x+2 , x+4 , x+6 and x+8

》The number of terms = 5

${\orange{\underline{\underline{\bold{Formula\:used:-}}}}}$

$Mean = \frac{Sum \: of \: terms}{Number \: of \: terms}$

$\frac{(x) +( x + 2 )+ (x + 4 )+ (x + 6 )+ (x + 8)}{5} = 24$

$\implies \frac{x + x + 2 + x + 4 + x + 6 + x + 8}{5} = 24$

$\implies\frac{5x + 20}{5} = 24$

Take 5 as a common term in the numerator

$\implies\frac{5(x + 4)}{5} = 24$

$\implies x + 4 = 20$

$\implies x = 24 - 4 = 20$

$\boxed{Second\:option \:is\:correct}$