Step-by-step explanation: Three consecutive odd integers are represents as follows.
X ⇒ first integer
X + 2 ⇒ second integer
X + 4 ⇒ third integer
Since the sum of these is 87, our equation reads X + X + 2 + X + 4 = 87.
Simplifying on the left, we get 3x + 6 = 87.
Subtracting 6 from both sides, 3x = 81.
Now divide both sides by 3 and x = 27.
Since x, our first odd integer is 27, our next consecutive odd integer will be X + 2 or 27 + 2 which is 29 and X + 4 would be 31.
