SOLUTION: Find three consecutive odd integers whose sum is at least 36. I think it is 13, 15, and 17. How do I show work?

Question 947182: Find three consecutive odd integers whose sum is at least 36. I think it is 13, 15, and 17. How do I show work?
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let ,,and be the integers.

The next odd integer would be 13.
So 11,13,and 15 are the least triple of odd numbers for which the sum is at least 36.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Find three consecutive odd integers whose sum is at least 36. I think it is 13, 15, and 17. How do I show work?

Let smallest integer be S
Then others are S + 2, and S + 4
We then have:

Smallest integer, or , or
Integers:
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