I break down the statement and think logically:
3 integers, consecutive, added together make a value
3 is odd, so the center number can be found by dividing the total by 3
calculate 279/3=93
1 odd integer above = 95
1 odd integer below =91
check work, 91+93+95=279
work checks as correct.
I'm not saying this method or the others is more or less appropriate, but since my approach seems different I thought I would share.