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The sum of three consecutive even integers is 234. Find the integers.
The sum of three consecutive even integers is 234. Find the integers.
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Koala Tutor
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Let the smallest even integer be $x$. The next two consecutive even integers are $x+2$ and $x+4$. Thus we have the equation $x+(x+2)+(x+4)=234$. Combining like terms on the left side of the equation gives $3x+6=234$. Subtracting 6 from both sides of the equation gives $3x=228$. Dividing both sides of the equation by 3 gives $x=76$. The three consecutive even integers are $\boxed{76, 78, 80}$.
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