SOLUTION: The least of three consecutive odd integers is 2 more than half the largest. What are the integers?

SOLUTION: The least of three consecutive odd integers is 2 more than half the largest. What are the integers?

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Question 649589: The least of three consecutive odd integers is 2 more than half the largest. What are the integers?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
LET X, X+1 & X+2 BE THE THREE CONSECUTIVE INTEGERS.
X=(X+2)/2+2
X-2=(X+2)/2 CROSS MULTIPLY.
2(X-2)=X+2
2X-4=X+2
2X-X=2+4
X=6 ANS. FOR THE SMALLEST INTEGER.
PROOF:
X+2=6+2=8 ANS. FOR THE LARGEST INTEGER.
6=(6+2)/2+2
6=8/2+2
6=4+2
6=6
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