Answer:
31, 33, 35
Step-by-step explanation:
Let 2n+1 be the first odd number. What will the next one be? Add two:
Let 2n+3 be the next odd number. Again, what is the next one? Add two:
Let 2n+5 be the third odd number.
The sum of those three numbers must be 99. You don't have to have the parenthesis here, but I think they help clarify where everything comes from.
(2n+1) + (2n+3) + (2n+5) = 99
Add like terms, and solve for n:
6n + 9 = 99
6n = 90
n = 15
The three odd numbers we want are:
2(15)+1 = 31
2(15)+3 = 33
2(15)+5 = 35
Double check: 31+33+35 = 99?
