SOLUTION: The sum of four consecutive even integers is 308. Write and solve an equation to find the four integers.

Question 102354This question is from textbook Algebra
: The sum of four consecutive even integers is 308. Write and solve an equation
to find the four integers. This question is from textbook Algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Consecutive even integers follow the form: , , , ...., etc.

So the product of four consecutive even integers is:

Combine like terms on the left side

Subtract 12 from both sides

Combine like terms on the right side

Divide both sides by 8 to isolate x

Divide

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Answer:
So our answer is

That means our first number is....

So our first number is 74

Our second number is simply 2 more than 74

So our second number is 76

Our third number is simply 2 more than 76

So our third number is 78

Our fourth number is simply 2 more than 78

So our fourth number is 80

So our 4 consecutive even integers are

74,76,78, and 80

Check:

works
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