Problem 21 (2010 AMC 8)

Hui is an avid reader. She bought a copy of the best seller Math is Beautiful. On the first day, she read $1/5$ of the pages plus $12$ more, and on the second day she read $1/4$ of the remaining pages plus $15$ more. On the third day she read $1/3$ of the remaining pages plus $18$ more. She then realizes she has $62$ pages left, which she finishes the next day. How many pages are in this book?