Find three consecutive even numbers whose sum is 36.
A) -10, -8, -6
B) 12, 14, 16
C) 5, 7, 9
D) 10, 12, 14

Question

Quizplus · Accepted Answer

Let the first even number be x. Then, the next two consecutive even numbers would be x + 2 and x + 4, since adding 2 to an even number gives the next consecutive even number, and adding another 2 gives the one after that.

We are given that the sum of these three numbers is 36, so we can write an equation:

x + (x + 2) + (x + 4) = 36

Simplifying this equation, we get:

3x + 6 = 36

Subtracting 6 from both sides:

3x = 30

Dividing by 3:

x = 10

Therefore, the first even number is 10, and the next two consecutive even numbers are 12 and 14.

So, the correct choice is D.

Find Three Consecutive Even Numbers Whose Sum Is 36