Final answer:
The two numbers in question are 25 and 7, found by setting up a system of linear equations based on the information given and solving for the variables.
Step-by-step explanation:
The problem provided can be approached by setting up a system of equations. Let's define our variables: let x be one number, and y be the other number. According to the problem, the sum of the two numbers is 32, so we can write the first equation as:
x + y = 32
Next, we are told that one number is 3 less than four times the other, which gives us the second equation:
x = 4y - 3
Now, we substitute the second equation into the first to find the value of y:
4y - 3 + y = 32
y = 7
Once we have the value for y, we substitute it back into the second equation to find x:
x = 4(7) - 3
x = 25
Therefore, the two numbers are 25 and 7.