



 
Hi Lucy, The two examples you sent could be solved either way. For the first question, suppose it were worded "What is the average of five consecutive odd integers?" It could be answered as in your text but you could also say
Our answers look different but they are really the same, the answer is "4 more than the smallest of the 5 integers". For the second question you could say
Which strategy would I use? If I am to consider an odd integer I would write it as $2k + 1$ so the fact that it is odd is contained in the algebra and not just in my memory. Likewise an even integer I would write $2k.$ I hope this helps,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 