Question

Find two consecutive odd integers whose sum is 36.

Which of the following equations could be used to solve the problem?

2x = 36
2x + 1 = 36
2x + 2 = 36
x2 + 2 = 36

Answer 1

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

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

Answer 2

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=(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.