Androids and Robots!

Algebra Level 3

At the beginning of the year, there were more robots than androids. On the first day of each month, each robot made \(7\) androids and each android made \(7\) robots. The next day, each old android would pick a fight with a new android, and they would destroy each other. At the end of the year, there were \(46875\) million robots and \(15625\) million androids. What was the difference between the numbers of robots and androids at the beginning of the year?

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