Answer:
The three numbers are 29, 31, and 33.
Step-by-step explanation:
Let's imagine that the three consecutive odd integers are 2x−1, 2x+1, and 2x+3. And we are told the sum is 93 right? So, let's equal the three numbers to 93.
2x − 1 + 2x + 1 + 2x + 3 = 93
6x + 3 = 93
-3 -3
-----------------
6x = 90
/6 /6
----------------
x = 15
Now, plug in x into 2x−1, 2x+1, and 2x+3 to find the three numbers.
2x − 1 2x + 1 2x + 3
2(15) - 1 2(15) + 1 2(15) + 3
30 - 1 30 + 1 30 + 3
= 29 = 31 = 33
