Assume that Sydney in Problem 57 is a cat instead of a dog, and assume that cats age four times as quickly as humans. Using this assumption, when will Karen and Sydney be "the same age"?

Data from Problem 57

The premise of this problem is that since dogs supposedly age seven times as quickly as humans, at some point the dog will become "older" than its owner. Karen wanted to determine exactly on which day this milestone would occur for her and her dog, Sydney, so that they could celebrate the occasion. Here are the basic facts. Karen was born on December 7, 1970, and Sydney was born on April 18, 1992. For every year that Karen aged, Sydney aged seven equivalent people-years. On what date are Karen and Sydney "the same age"?