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Blake Shelton and Gwen Stefani are a married couple. Blake opens up a savings account which earns interest at an annual effective rate of 6%

Blake Shelton and Gwen Stefani are a married couple. Blake opens up a savings account which earns interest at an annual effective rate of 6% and he makes an opening deposit of X. At the exact same time, Gwen opens up a savings account which earns interest at an annual effective rate of 5%, and she makes an opening deposit of Y . Two years later, Blake and Gwen have equal balances in their accounts. At the end of four years, Blake and Gwen buy a car for a price of 330,000. To pay for the car, Blake uses one-fourth of his accumulated savings, while Gwen uses one-half of hers. What was the total amount of Blake and Gwen's opening deposits? Show all work.

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