Question

If the sum of three consecutive even integers is 30, what is the first of the three even integers? (Hint: If x and x + 2

represent the first two consecutive even integers, then how would the third consecutive even integer be represented?)
The first of the three even integers is
Help

Answer 1

8

Explanation:

Let's call the first of the three consecutive even integers x.

Since the integers are consecutive and even, we know that the next integer will be x+2, and the next one will be x+4.

We can use this information to set up an equation:

x + (x+2) + (x+4) = 30

Simplifying this equation, we get:

3x + 6 = 30

Subtracting 6 from both sides:

3x = 24

Dividing by 3:

x = 8

So the first of the three consecutive even integers is 8