Let's represent Aaron's current age as A and Julie's current age as J. Given that Julie is 4 times older than Aaron, we can write J = 4A. In ten years, Julie will be J + 10 years old and Aaron will be A + 10 years old. According to the second statement, in ten years Julie will be twice as old as Aaron, so we have J + 10 = 2(A + 10). By substituting J = 4A into this equation, we get 4A + 10 = 2A + 20. Solving this equation, we find that Aaron is 10 years old and Julie is 40 years old.
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