Final answer:
The three numbers are 29, 21, and 84. By setting up an equation with the given relationships and the sum of the numbers, the equation is solved to find each individual number.
Step-by-step explanation:
Solution to Find the Three Numbers
To solve this problem, we'll let the first number be denoted as x. According to the problem, the second number is 8 less than the first, so it can be represented as x - 8. The third number is four times the second, which is 4(x - 8). Given that the sum of the three numbers is 134, we can write the equation:
x + (x - 8) + 4(x - 8) = 134.
Simplifying the equation, we get:
x + x - 8 + 4x - 32 = 134.
Combining like terms yields:
6x - 40 = 134.
Adding 40 to both sides gives:
6x = 174.
Dividing both sides by 6:
x = 29.
So, the first number is 29. The second number, being 8 less than the first, is 29 - 8, which equals 21. The third number is 4 times the second, so 4 × 21 equals 84.
The three numbers are therefore 29, 21, and 84.