We have been given two key pieces of information from the problem statement we can use to set up equations to solve for Aaron and Ron's ages.
First, we know that Aaron is 5 years younger than Ron. So, we can express Aaron's age as Ron's age minus 5, or:
1. Aaron's Age (A) = Ron's Age (R) - 5.
Next, we are also told that in four years Ron's age will be twice Aaron's age. This can also be expressed in equation form as:
2. Ron's Age in 4 years = 2 times (Aaron's Age in 4 years)
We can substitute our expression for Aaron's age from equation 1 into equation 2 to solve for Ron's Age (R). Doing so, we get:
3. R + 4 = 2*((R - 5) + 4)
We solve equation 3 for R:
R = 6 (Ron's present age)
Now we can substitute R = 6 into equation 1 to obtain Aaron's present age:
A = R - 5 = 6 - 5 = 1 (Aaron's present age)
Therefore, Aaron is 1 year old and Ron is 6 years old.