Question

The sum of four consecutive even integers is -284. Find the four integers. Order the integers from least to greatest.

a) -72, -70, -68, -66
b) -70, -68, -66, -64
c) -68, -66, -64, -62
d) -66, -64, -62, -60

Answer 1

To find the four consecutive even integers, set up an equation. The four integers are -74, -72, -70, and -68. The answer is -72, -70, -68, -66.

Step-by-step explanation:

To find the four consecutive even integers, we can set up an equation. Let's call the first integer x. The second integer would then be x+2, the third x+4, and the fourth x+6. We can then add up these four integers and set it equal to -284:

x + (x+2) + (x+4) + (x+6) = -284

Simplifying the equation:

4x + 12 = -284

Subtracting 12 from both sides:

4x = -296

Dividing by 4:

x = -74

So the four consecutive even integers are -74, -72, -70, and -68. Ordering them from least to greatest gives us the answer choice a) -72, -70, -68, -66.