SOLUTION: If the first and third of three consecutive even integers are added, the result is 12 less than three times the second integer. find the integers. 2x+4=12-3x-6 2x+4x=6-3x

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: If the first and third of three consecutive even integers are added, the result is 12 less than three times the second integer. find the integers. 2x+4=12-3x-6 2x+4x=6-3x       Log On


   



Question 158269: If the first and third of three consecutive even integers are added, the result is 12 less than three times the second integer. find the integers.
2x+4=12-3x-6
2x+4x=6-3x

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
FIRST INTEGER=X
SECOND=X+2
THIRD=X+4
X+(X+4)=3(X+2)-12
2X+4=3X+6-12
2X-3X=-6-4
-X=-10
X=10 FOR THE FIRST INTEGER.
10=2-12 FOR THE SECOND
10=4=14 FOR THE THIRD.
PROOF
10+14=3*12-12
24=36-12
24=24