Final answer:
To solve this problem, we can set up a system of equations using the given information. Using the substitution method, we can find that the two numbers are 46 and -14.
Step-by-step explanation:
To find the two numbers, let's assign variables to them. Let's call one number x and the other number y.
According to the first statement, when the two numbers are added together, they equal 32, so we can write the equation as:
x + y = 32
According to the second statement, when one of the numbers is halved, it equals 23. If we divide x by 2, we get:
x/2 = 23
To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method:
From the second equation, we can solve for x: x = 46
Substitute this value of x in the first equation: 46 + y = 32
Subtract 46 from both sides: y = -14
Therefore, the two numbers are 46 and -14.