SOLUTION: find three cosecutive odd integers such that three times the middle integer is one more than the sum of the first and third.

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Question 231198: find three cosecutive odd integers such that three times the middle integer is
one more than the sum of the first and third.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Let x, x+2 & x+4 be the 3 odd integers.
3(x+2)=x+(x+4)+1
3x+6=2x+4+1
3x-2x=5-6
x=-1 the smallest integer.
-1+2=1 for the middle integer.
-1+4=3 the largest integer.
Proof:
3*1=-1+3+1
3=3