Final answer:
The first number is 17 and the second number is 8.
Step-by-step explanation:
To solve this problem, let's denote the second number as 'x'. The first number is then '1 + 2x'. Since the sum of the two numbers is 25, we can set up the equation: (1 + 2x) + x = 25. Solving this equation, we get 3x + 1 = 25. Subtracting 1 from both sides, we have 3x = 24. Dividing both sides by 3, we get x = 8. Therefore, the first number is 1 + 2(8) = 17, and the second number is 8.