Question 1181833
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One tutor used x, x+2, and x+4 for the three consecutive odd integers; the other used x, x-2, and x-4.  Both choices are valid and lead to the correct answer if used properly.  Perhaps the latter is a slightly better choice, since the problem asks for the length of the longest side; letting x be the longest side saves an extra step at the end.<br>
Often the work to solve a problem like this is easier if we let x be the length of the middle number.  The sides are then x-2, x, and x+2; the sum is 3x=45 so x is 15; then the longest side is x+2=17.<br>
I personally prefer this last method, even though the solution to my equation is not the answer to the problem; overall, the work getting to the answer is a bit easier.<br>
The three methods for setting up the problem in the three responses you have received are an example of the fact that, when you are learning to solve problems like this, you should try different methods for setting up the problem to see what methods "work" for you.<br>