Answer:Kevin is currently 29 years old, and Ann is 12 years old.
Explanation:
Let's use algebra to solve this problem.
Let K represent Kevin's current age, and let A represent Ann's current age.
We have two pieces of information:
Kevin is 17 years older than Ann: K = A + 17.
In 5 years, Kevin will be twice as old as Ann: K + 5 = 2(A + 5).
Now, we can solve this system of equations. First, let's solve equation (1) for K:
K = A + 17
Next, substitute this expression for K into equation (2):
(A + 17) + 5 = 2(A + 5)
Now, simplify and solve for A:
A + 22 = 2A + 10
Subtract A from both sides:
22 = A + 10
Subtract 10 from both sides:
12 = A
So, Ann is currently 12 years old. Now, we can find Kevin's age using equation (1):
K = A + 17
K = 12 + 17
K = 29
Kevin is currently 29 years old, and Ann is 12 years old.