The sum of three numbers is 117. the third number is 3 times the second. the first number is 8 less than the second. what are the numbers?

Let the second number be x.

First number = x - 8

Third number = 3x

Sum of the numbers = 117

x - 8 + x + 3x = 117

5x = 125

x = 25

Thus,

The first number is 17. The second number is 25. The third number is 75.