Final answer:
One number is 5/8 and the other number is 115/8.
Step-by-step explanation:
To solve this problem, we can set up equations based on the given information. Let's assume that one number is x and the other number is 23x. We can then write the equation x + 23x = 15, since the sum of the two numbers is 15. Simplifying this equation, we get 24x = 15. Dividing both sides by 24, we find that x = 15/24 or 5/8. Therefore, the two numbers are 5/8 and 23(5/8) which is equal to 115/8. The two numbers are 5/8 and 115/8.