Final answer:
To find the numbers Jonathon might have subtracted and added to arrive at the number 12.67, we need to solve two equations.
Step-by-step explanation:
In this problem, Jonathon subtracted two numbers that had a difference of 12.67 and added two numbers that had a sum of 12.67. We need to find what numbers he might have subtracted and added to arrive at the number 12.67.
Let's assume the numbers he subtracted are x and y. Since the difference between them is 12.67, we can write the equation x - y = 12.67.
Now, let's assume the numbers he added are a and b. Since their sum is 12.67, we can write the equation a + b = 12.67.
To find the possible values of x, y, a, and b, we need to solve these two equations together.