2016 AIME I Problem 5

Anh read a book. On the first day she read n pages in t minutes, where n and t are positive integers. On the second day Anh read n + 1 pages in t + 1 minutes. Each day thereafter Anh read one more page than she read on the previous day, and it took her one more minute than on the previous day until she completely read the 374 page book. It took her a total of 319 minutes to read the book. Find n + t.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.