The sum of 3 consecutive integers can be represented as
X → <em>first integer</em>
X + 1 → <em>second integer</em>
X + 2 → <em>third integer</em>
X + 3 → <em>fourth integer</em>
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Since the sum of our three consecutive integers is 18, our equation will read...
X + X + 1 + X + 2 + X + 3 = 18
If we simplify on the left, our equation will read
<h2>4x + 6 = 18</h2><h2> -6 -6 ← subtract 6 on both sides</h2><h2 /><h2> 4x = 12</h2><h2> X = 3</h2>
X + 3 = largest integer
3 = 3 = 6
Therefore, the largest integer is 6.
