Final answer:
To find the three numbers given a ratio and their sum, set up an equation and solve for the unknowns. In this case, the three numbers are 6, 21, and 9.
Step-by-step explanation:
To find the three numbers, we need to find the value of each part of the ratio. Let's assume the parts of the ratio are 2x, 7x, and x. According to the problem, the sum of these numbers is 30.
So we can set up the equation: 2x + 7x + x = 30. Combining like terms, we get 10x = 30.
Dividing both sides by 10, we find that x = 3. Therefore, the three numbers are 2(3) = 6, 7(3) = 21, and 3(3) = 9.