Answer:
5, 7, 9
Step-by-step explanation:
Let us first write an equation to solve this problem by setting the first of the 3 consecutive odd numbers as x. Notice that consecutive odd numbers all have a difference of 2: 1+2=3, 3+2=5, etc. We can find the second odd number by adding 2 to the first one. We have, x+2. For the third number, we have x+4. Lastly, we know that the three numbers all add of to 21. Let us now write the equation:
[tex]x+x+2+x+4=21\\3x+6=21\\3x=15\\x=5[/tex]
Now we know that the first number, x is 5. The next number would be x+2, so 7. The last number is x+4, so 9.
I hope this helps! Let me know if you have any questions :)
