Question

if the average if x, 2x+5, x+6 and 45 is 29, what's x is..answer

Answer 1

Answer:

Numeric value of the given variable x is 15.

Step-by-step explanation:

We know that the average of observations is the ratio of the sum of the observations to the number of observations.

Mathematically, $\boxed{\mathsf{average= \dfrac{sum\:of\:observations}{total\:number\:of\:observations}}}$

In the given question,

Given observations : x , 2x +5 , x + 6 , 45 .

Total number of observations : 4

Sum of observations : x + 2x + 5 + x + 6 + 45

                ⇒ x + 2x + x + 5 + 6 + 45

                ⇒ 4x + 56

According to the question average of the given numbers is 29.

∴ 29 = $\dfrac{4x+56}{4}$

= >  29 x 4 = 4x + 56

= >  116 = 4x + 56

= >  116 - 56 = 4x

= >  60 = 4x

= >  60 / 4 = x

= >  15 = x