SOLUTION: Half of the greatest of 4 consecutive even integers is 5 less than the smallest. Find the integers.

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Question 173312: Half of the greatest of 4 consecutive even integers is 5 less than the smallest. Find the integers.
Found 2 solutions by checkley77, Mathtut:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Let x, x+2, x+4, x+6 be the 4 consecutive even intergers.
(x+6)/2=x-5
x+6=2(x-5)
x+6=2x-10
x-2x=-10-6
-x=-16
x=16 answer.
Proof:
(16+6)/2=16-5
22/2=11
11=11

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let call the integers:a,a+2,a+4,a+6
:
1/2(a+6)=a-5
:
a+6=2(a-5)
:
a+6=2a-10
:
highlight%28a=16%29
integers aresystem%2816%2C18%2C20%2C22%29