Final answer:
The student's question can be solved by setting up a system of equations from the given information and finding that the two numbers are 25 and 20.
Step-by-step explanation:
Solution to the Given Problem
The student's question involves solving a system of equations. They are given that the sum of two numbers is 45 and their difference is 5. To solve this, we can set up two equations based on the information given:
Let the two numbers be x and y.
The sum of the two numbers is 45: x + y = 45
The difference of the two numbers is 5: x - y = 5
To find the values of x and y, we can solve this system of equations. By adding the two equations, we cancel out y, giving us:
2x = 50
Dividing both sides by 2, we find that x = 25. Substituting x = 25 into one of the original equations, for instance, x + y = 45, we get:
25 + y = 45
Subtracting 25 from both sides gives us y = 20.
Therefore, the two numbers are 25 and 20.