The sum of three numbers is 109. the third number is 2 times the second. the second number is 9 less than the first. what are the numbers?

Let x = the first number

Let x - 9 = the second number

Let 2 (x - 9) = the third number

Now we are told that:

x + (x - 9) + 2 (x - 9) = 4x - 27 = 109

This means that x = 34 - the first number

25 = the second number

50 = the third number