1. Consecutive natural numbers

The question is
the sum of 3 consecutive natural numbers is 15 more than the greatest of them. What is the greatest of the three numbers?

I was wondering if it was 7,8,9 or am I totally wrong? Thanks for reading!

2. Yes, I think they are 7,8,9
We suppose that the numbers are
a, a+1, a+2
the greatest of them is a+2
then
a+a+1+a+2=15+a+2
2a+1=15
2a=14
a=7
Then the numbers are
a=7
a+1=8
a+2=9