The sum of two consecutive odd integers is 316. find the two odd integers.

1, 3, 5, 7, 9 ......
notice, there are consecutive odd integers, every other number
skip one, another, skip one, another and so on

so, from 1 to 3, is 1 + 2 =3
5 is 3 +2
7 is 5+2
and so on

let us pick an odd integer, hmmm say "a"
to find the next odd one, it'd be "a + 2" of course :)

we know their sum is 316
so 

once you found "a", the next one is, well, "a + 2" :)

The answer of the above is