Question 18423
You probably are thinking "I need to find 4 numbers, I need 4 variables." Not quite.  Since they are consecutive and odd, you only need 1 variable.
Let's use N as the variable.
Pretend N=3. The next odd integer is 5. What is the difference? 2.
So, you can use the variables
N, N+2, N+4, N+6
Those will give you your consecutive odd.
Then just make them into a mathamatical equation
{{{(N)+(N+2)+(N+4)+(N+6)=112}}}
{{{4N+12=112}}}
{{{4N=100}}}
{{{N=25}}}
Since you got 1 number, you got all 4. 
25 is the smallest of the 4 numbers, so just add 6 to get your final answer.
{{{25+6=31}}}
31 is your greatest.
Hope this helps!