Question 14747
First, you just need 1 variable to solve instead of 2.  They are:
N and N+1. 
Then you translate the word problem into a mathamatical equation. 
It should look something like this. 
{{{N+3(N+1)=55}}}
Then you just solve for N
{{{N+3N+3=55}}}
{{{4N=52}}}
{{{N=13}}}
If N is 13, then the second consecutive integer is 14. 
The answer is 13 and 14. 
Hope this helps!