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.