Final answer:
The smaller number is 14 and the larger number is twice as large, which is 28. These two numbers together add up to 42, which matches choice C) 14 and 28.
Step-by-step explanation:
We need to find two numbers where one number is twice as large as the second number, and together they add up to forty-two. To set up our equation, let's call the smaller number x. According to the problem, the larger number will be 2x. So, our equation will be x + 2x = 42. This simplifies to 3x = 42, and solving for x gives us x = 14. Therefore, the second larger number is 2x, which is 28.
The correct answer is: one number is 14 and the second number, being twice as large, is 28, which corresponds to answer choice C) 14 and 28.