Billy is 6 years younger than Amy. The sum of their ages is 22. How old will each of them be in 8 years?

To start, we can use algebra to solve the problem. Let's use "B" to represent Billy's current age and "A" to represent Amy's current age:

B = A - 6 (since Billy is 6 years younger than Amy)
B + A = 22 (since the sum of their ages is 22)

We can solve for one of the variables using the first equation and then substitute that into the second equation:

B = A - 6
A = B + 6 (adding 6 to both sides)

B + A = 22
B + (B + 6) = 22 (substituting in the value of A from above)
2B + 6 = 22
2B = 16
B = 8 (Billy is currently 8 years old)

Now we can use either equation to find Amy's current age:

B = A - 6
8 = A - 6
A = 14 (Amy is currently 14 years old)

To find their ages in 8 years, we simply add 8 to each of their current ages:

Amy: 14 + 8 = 22
Billy: 8 + 8 = 16

Therefore, in 8 years, Amy will be 22 years old and Billy will be 16 years old.