Question 934955
You need to make your question clearer.  Best guessing is you want this:
<i>...such that twice the sum of the first and third is  more than the second by fifteen.</i>


The integers:  2n+1, 2n+3, 2n+5.


{{{2(2n+1+2n+5)-(2n+3)=15}}}
Solve....