Answer:
three consecutive odd integers are.
[tex]171, 173, 175[/tex]
Step-by-step explanation:
Let x be the first term of odd integer,
Therefore, the second consecutive odd integers = [tex]x+2[/tex]
Similarly, the third consecutive odd integers = [tex]x+4[/tex]
Given:
The sum of the first term and second term is 344.
first term + second term = 344
Here first term is x and second term is [tex]x+2[/tex].
[tex]x+(x+2)=344[/tex]
[tex]2x+2=344[/tex]
[tex]2x=344-2[/tex]
[tex]x=\frac{342}{2}[/tex]
[tex]x=171[/tex]
Therefore, the first odd integers is 171.
And the second consecutive odd integers = [tex]x+2=171+2=173[/tex]
Similarly, the third consecutive odd integers = [tex]x+4=171+4=175[/tex]
