Question 18423
Hello There:

Consecutive odd integers always differ by 2, so if we choose x to be the smallest of the four, then we can write the following expressions for the four consecutive odd integers:

x

x + 2

x + 4

x + 6

This leads to the following equation:

x + x + 2 + x + 4 + x + 6 = 112

Simplify the left side:

4x + 12 = 112

Solve for x:

4x = 100

x = 25

Our four integers are:  25, 27, 29, 31.

So, the answer is 31.

(Check to verify that these integers add up to 112.)

~ Mark