SOLUTION: 2. The sum of three consecutive even integers is 114 a. Define a variable for the smallest integer b. Define variables to represent the 2nd and 3rd integers c. Write an equat

Question 96827: 2. The sum of three consecutive even integers is 114
a. Define a variable for the smallest integer
b. Define variables to represent the 2nd and 3rd integers
c. Write an equation for the sum of the tree consecutive even integers.
d. Solve the equation to find the three even integers.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a) let x=smallest integer

b) 2nd integer: , 3rd integer: (remember consecutive even integers increment by 2 each time)

c) Sum:

Plug in and

d)
Remove the parenthesis

Combine like terms on the left side

Subtract 6 from both sides

Combine like terms on the right side

Divide both sides by 3 to isolate x

Divide

--------------------------------------------------------------
Answer:
So first number is

Now plug in into the 2nd and 3rd number equations

2nd number:
3rd integer:

So the 3 numbers are

36, 38, 40

Check:

Add up the 3 numbers. Their sum should equal 114

works
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