Answer: The two odd integers are 17 and 19.
The correct option is (C) [tex]2x+2=36.[/tex]
Step-by-step explanation: We are given to find two consecutive odd integers whose sum is 36.
Also, to select the equation that could be used to solve the problem.
Let x be one of the odd integers. Since any two odd integers differ by 2, so the other odd integer will be (x + 2).
According to the given information, we have
[tex]x+(x+2)=36\\\\\Rightarrow 2x+2=36\\\\\Rightarrow 2x=36-2\\\\\Rightarrow 2x=34\\\\\Rightarrow x=\dfrac{34}{2}\\\\\Rightarrow x=17.[/tex]
And,
[tex]x+2=17+2=19.[/tex]
Thus, the two odd integers are 17 and 19 and the required equation is
[tex]2x+2=36.[/tex]
Option (C) is CORRECT.
