# SOLUTION: What are the four consecutive even integers that equal 308?

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Question 214726: What are the four consecutive even integers that equal 308?
Found 2 solutions by stanbon, drj:
You can put this solution on YOUR website!
What are the four consecutive even integers that equal 308?
--------------------------
1st 2x-2
2nd 2x
3rd 2x+2
4th 2x+4
-----------------
8x +4 = 308
8x = 304
x = 38
-------------
2nd: 2x = 76
1st: 74
3rd: 78
4th: 80
=================
Cheers,
Stan H.

You can put this solution on YOUR website!
What are the four consecutive even integers that equal 308?

Step 1. Let n be an even integer, n+2, n+4, and n+6 be the next three consecutive integers.

Step 2. Then n+n+2+n+4+n+6=308 as given by the problem statement where the sum of the four consecutive integers equal to 308.

Step 3. The following steps will solve the equation in Step 2:

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: n=74. Graphical form: Equation was fully solved.Text form: n+n+2+n+4+n+6=308 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( n+n+2+n+4+n+6=308 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
It becomes .

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Moved to the right of expression
It becomes .

Look at .
Eliminated similar terms ,,, replacing them with
It becomes .

Look at .
It becomes .

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Remove unneeded parentheses around factor
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
It becomes .

Look at .
It becomes .

Look at .
Solved linear equation equivalent to 4*n-296 =0
It becomes .
Result:
This is an equation! Solutions: n=74.

### Universal Simplifier and Solver

Done!

Step 4. The integers are: 74, 76, 78, and 80.

I hope the above steps were helpful.