Question

find two consecutive integers whose sum is 35

Answer 1

Let \(n\) be one of these integers. The next consecutive integer is then \(n+1\). You then have
\[n+(n+1)=35~~\iff~~2n+1=35\]
Find \(n\), then find \(n+1\).

Answer 2

17 and 18 I found this by dividing 35 by 2, which gives you 17.5. The nearest integers on either side are 17 and 18.