1. Let's define variables: Let $A$ be the number of cookies Anna had initially, and $E$ be the number of cookies Elsa had. 2. After Anna baked another 340 cookies, Anna's total cookies became $A + 340$. 3. According to the problem, Anna then had twice as many cookies as Elsa, so we write the equation: $$A + 340 = 2E$$ 4. This equation relates Anna's initial cookies $A$ and Elsa's cookies $E$. Without additional information, we cannot find exact values for $A$ or $E$, but we have the relationship: $$A + 340 = 2E$$ 5. If you have more information, such as the initial number of cookies Anna or Elsa had, we can solve for the exact numbers.