If 5 < x < 11 and y = x + 6, what is the greatest possible integer value of x + y? Choose the correct choice from the following answers
A) 25
B) 26
C) 27
D) 28
E) 29
x+y = x+x+6 = 2x+6   We need to maximize this value and it needs to be an integer.   2x is an integer when the decimal of x is .0 or .5   The largest such value is 10.5   Then x+y = 10.5 + 16.5= 
<gadget id="calculator">10.5 + 16.5</gadget>
<output>27</output>
27.   The answer is 27.
<result>C</result>
If 5 < x < 11 and y = x + 6, what is the greatest possible integer value of x + y?