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Kevin is 17 years older than his sister Ann. In 5 years, he will be twice as old as Ann. How old is each of them now?

User Bettyanne
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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.

User John Arlen
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