Question

Find two consecutive odd integers whose sum is 36.

Answer 1

Answer:  The two odd integers are 17 and 19.

The correct option is (C) $2x+2=36.$

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

$x+(x+2)=36\\\\\Rightarrow 2x+2=36\\\\\Rightarrow 2x=36-2\\\\\Rightarrow 2x=34\\\\\Rightarrow x=\dfrac{34}{2}\\\\\Rightarrow x=17.$

And,

$x+2=17+2=19.$

Thus, the two odd integers are 17 and 19 and the required equation is

$2x+2=36.$

Option (C) is CORRECT.

Answer 2

2 consecutive odd integers...x and x + 2

x + (x + 2) = 36
2x + 2 = 36 <===