Answer:

The largest integer is 31.
Step-by-step explanation:
Hi there!
Let <em>k</em> be equal to the smallest of the integers.
Let (<em>k</em>+2) be the next odd integer.
Let (<em>k</em>+4) be the final odd integer.
We're given that the sum of these three integers is 87. Construct an equation:

Combine like terms:

Therefore, the smallest integer is 27. Because the largest integer is k+4, the largest integer is therefore 31.
I hope this helps!