One number is 9 times a first number. a third number is 100 more than the first number. of the sum of the three numbers is 1167, find the numbers

Let x represent the first number.
The second number is 9x.
The third number is x +100.

The sum of all three numbers is
.. x +9x +(x +100) = 1167
.. 11x +100 = 1167
.. 11x = 1067
.. x = 97

The numbers are 97, 873, 197.