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