Question

The sum of three consecutive odd integers is 79. If x represents the first integer, select the equationbelow which coud be used to solve this word problem.O x(x + 1)(x + 2) = 79Ox+2+1+2+3 = 79O2 ++1+2+2 = 79O2 +2 +2 +3 +4 = 79> Next QuestionON

Answer 1

The equation that could be used to solve the word problem is;

`x+x+2+x+4=79`

Given that;

The sum of three consecutive odd integers is 79.

And x represent the first integer.

The common difference between consecutive odd integers is;

`\begin{gathered} d=3-1=2 \\ d=2 \end{gathered}`

So, the first, second and third consecutive integers can be represented as;

`x,x+2,x+4`

The sum of the three is;

`x+x+2+x+4=79`

Therefore, the equation that could be used to solve the word problem is;

`x+x+2+x+4=79`