Question

The arithmetic mean of three consecutive even integers is 20. Which equation could be used to find the integers? A) x(x + 2)(x + 4) = 20 B) x + 2x + 4x 3 = 20 C) x(x + 2)(x + 4) 3 = 20 D) x + (x + 2) + ( x + 4) ] = 20 E) x + (x + 2) + ( x + 4) 3 = 20

Answer 1

Given:

The arithmetic mean of three consecutive even integers is 20.

To find:

The equation that can be used to find the integers.

Solution:

Let the three consecutive even integers are x, x+2 and x+4.

We know that,

$\tex{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}$

The arithmetic mean of three consecutive even integers is:

$\tex{Mean}=\dfrac{x+(x+2)+(x+4)}{3}$

It is given that, mean = 20. So,

$\dfrac{x+(x+2)+(x+4)}{3}=20$

Therefore, the correct option is E.