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

The equation to find the three consecutive even integers when the mean is 20 is x + (x + 2) + (x + 4) = 20.

Step-by-step explanation:

The arithmetic mean of three consecutive even integers is 20.

To find the integers, we can set up an equation. Let the first even integer be x. The second even integer would be x + 2, and the third even integer would be x + 4. The equation to find the integers would be:

x + (x + 2) + (x + 4) = 20

Simplifying the equation, we get 3x + 6 = 20. Solving for x, we subtract 6 from both sides and divide by 3, giving us x = 4.

Therefore, the three consecutive even integers would be 4, 6, and 8. So, the correct equation to find the integers is x + (x + 2) + (x + 4) = 20 (Option D).