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

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 problemO xx 1x class=

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Answer:

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

[tex]x+x+2+x+4=79[/tex]

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;

[tex]\begin{gathered} d=3-1=2 \\ d=2 \end{gathered}[/tex]

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

[tex]x,x+2,x+4[/tex]

The sum of the three is;

[tex]x+x+2+x+4=79[/tex]

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

[tex]x+x+2+x+4=79[/tex]

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