SOLUTION: The sum of 3 consecutive even integers is 222. Find the numbers.

Question 123934:
The sum of 3 consecutive even integers is 222. Find the numbers.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X, X+2, X+4 ARE THE CONSECUTIVE EVEN INTEGERS.
X+X+2+X+4=222
3X+6=222
3X=222-6
3X=216
X=216/3
X=72 IS THE SMALLER INTEGER.
72+2=74 THE NEXT INTEGER.
72+4=76 FOR THE LAST INTEGER.
PROOF
72+74+74=222
222=222
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THIS IS THE CONVENTIONAL METHOD TO SOLVE THIS PROBLEM. HOWEVER THERE IS A SHORTER METHOD AS FOLLOWS:
222/3=74 WHICH IS THE MIDDLE NUMBER (X+2).
X+2=74
X=74-2
X=72 SMALLEST INTEGER.
72+4=76

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