SOLUTION: Find 4 consecutive even integers so sum of the 3 is 2 more than twice the 4th. Please show detailed formula to solve this.

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Question 186563: Find 4 consecutive even integers so sum of the 3 is 2 more than twice the 4th.
Please show detailed formula to solve this.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find 4 consecutive even integers so sum of the 3 is 2 more than twice the 4th.
---------------------
1st: 2x-2
2nd: 2x
3rd: 2x+2
4th: 2x+4
----------------------
Equation:
2x-2 + 2x + 2x+2 = 2(2x+4) + 2
6x = 4x + 10
2x = 10
x = 5
--------------
1st: 2x-2 = 10-2 = 8
2nd: 10
3rd: 12
4th: 14
=========================
Cheers
Stan H.

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