Final answer:
To find the numbers, we can assign variables to each of them and write an equation based on the given information. By solving the equation, we can determine the values of the numbers.
Step-by-step explanation:
To solve this problem, let's assign variables to each of the numbers:
Let's say the second number is x.
Since the first number is 7 less than the second, the first number would be x - 7.
Since the third number is 3 times the second, the third number would be 3x.
We know that the sum of the three numbers is 83, so we can write the equation: (x - 7) + x + 3x = 83
Combine like terms: 5x - 7 = 83
Add 7 to both sides of the equation: 5x = 90
Divide both sides by 5: x = 18
Therefore, the second number is 18. The first number would be 18 - 7 = 11. And the third number would be 3 * 18 = 54.
Let the second number be represented by x. Therefore, the first number is x - 7, and the third number is 3 times the second, which is 3x. The sum of the three numbers is 83, which gives us the equation:
x - 7 (first number) + x (second number) + 3x (third number) = 83.
Combining like terms, we get 5x - 7 = 83. Adding 7 to both sides gives us 5x = 90. Dividing both sides by 5 gives us x = 18.