the average of 4 concecutive even integers is 17. find the integers
samantha, jason, mary-beth, john, tyrik, aaron, katie, and tiffany --
You would probably get better responses if you show what YOU have done so far to try to solve these problems. Our job here is not to do your homework for you, but to show you how so that you can become independent learners.
Please repost and show what you have done so far on each problem.
Thanks.
=)
I guess I need to address this to joseph and mike, too!
=)
To find the consecutive even integers, let's break down the problem step by step:
Step 1: Define the variables
Let's assume the first even integer is represented by x.
Step 2: Define the next consecutive even integers
The next three consecutive even integers would be x + 2, x + 4, and x + 6. This is because the difference between consecutive even integers is always 2.
Step 3: Set up the equation
The average of the four consecutive even integers is given as 17. To find the average, we sum up all the integers and divide by the total number of integers (4 in this case).
The equation can be written as:
(x + (x + 2) + (x + 4) + (x + 6)) / 4 = 17
Step 4: Solve the equation
Let's solve the equation to find the value of x:
(x + x + 2 + x + 4 + x + 6) / 4 = 17
(4x + 12) / 4 = 17
4x + 12 = 68
4x = 68 - 12
4x = 56
x = 56 / 4
x = 14
Step 5: Find the consecutive even integers
Now that we have the value of x, we can find the consecutive even integers:
First even integer = x = 14
Second even integer = x + 2 = 14 + 2 = 16
Third even integer = x + 4 = 14 + 4 = 18
Fourth even integer = x + 6 = 14 + 6 = 20
Therefore, the four consecutive even integers are 14, 16, 18, and 20.