Answer: Let's use "A" to represent Adam's current age, and "T" to represent Teri's current age.
From the first sentence of the problem, we know that:
A = T - 15
This is because Adam is 15 years younger than Teri.
Now let's use the second sentence of the problem. It says that 10 years ago, Tori was 4 times as old as Adam was then. So, if we subtract 10 from each person's current age, we get:
(T-10)/4 = (A-10)
We can simplify this equation by substituting A = T - 15:
(T-10)/4 = ((T-15)-10)
Simplifying this equation further:
(T-10)/4 = (T-25)
Multiplying both sides by 4:
T-10 = 4(T-25)
Distributing the 4:
T-10 = 4T-100
Subtracting T from both sides:
-10 = 3T-100
Adding 100 to both sides:
90 = 3T
Dividing both sides by 3:
T = 30
So Teri is currently 30 years old. Using A = T - 15, we can find that Adam is:
A = T - 15 = 30 - 15 = 15
So Adam is currently 15 years old.
Explanation: