If $x$ and $y$ are integers, where $12 < x < 18$ and $15 < y < 27$ , then the maximum value of $x + y$ is

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Solution

If $x$ is integer and $12 < x < 18$
then the maximum value of $x$ is $17$

If $y$ is integer and $15 < y < 27$
then the maximum value of $y$ is $26$

Therefore, the maximum value of $x + y$ is $= 17 + 26 = 43$

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