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The sum of three consecutive **even** integers is $66$. What is the **largest** of the three?

A$22$
B$24$
C$26$
D$20$
Answer & Solution
Correct answer: B. $24$
Three consecutive even integers can be written as $n, n+2, n+4$ (all even if $n$ is even). $n + (n+2) + (n+4) = 66 \Rightarrow 3n + 6 = 66 \Rightarrow n = 20$. Integers: $20, 22, 24$. Largest $= 24$. - Trap A is the smallest. - Trap B is the middle.
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