The sum of three numbers is 96. The third number is 6 less than the first. The second number is 3 times the third. What are the numbers?

Let the first number be x.

Third number = x - 6

Second number = 3 (x - 6) = 3x - 18

Sum of the numbers = 96

x + 3x - 18 + x - 6 = 96

5x - 24 = 96

5x = 120

x = 24

Thus,

The first number is 24. The second number is 54. The third number is 18.