Final answer:
By setting up two equations based on the given information and solving them, we find that Gill is currently 16 years old.
Step-by-step explanation:
Let's assign variables to Gill's current age and the horse's current age. Let Gill's current age be g years and the horse's current age be h years. According to the question, one year ago Gill was five times as old as her horse, so we have:
g - 1 = 5(h - 1)
One year from now, the sum of their ages will be 22, so:
g + 1 + h + 1 = 22
Now we can simplify and solve these two equations:
g - 5h = -4 (1)
g + h = 20 (2)
From equation (2), we can solve for h:
h = 20 - g
Substitute this into equation (1):
g - 5(20 - g) = -4
After simplifying, we find that g = 16. Therefore, Gill is currently 16 years old.