Answer:
175 pages
Step-by-step explanation:
Let's call 'd' the number of days before the deadline, and 'n' the total number of pages of the book.
We have the following equations:
(1) [tex]25 d = n[/tex] --> if we multiply the number of pages per day (25) times the number of days (d), we get the total number of pages of the book (n)
(2) [tex](25+8)(d-2)=n-10[/tex] --> he reads 8 pages more per day (so, 25+8), for a number of days equal to (d-2) (d is the deadline), and he reads a total of n-10 pages (because only 10 are left)
We can substitute (1) into (2) and we find:
[tex]33(d-2)=25d-10\\33d-66=25d-10\\33d-25d=66-10\\8d=56\\d=7[/tex]
So, the deadline is 7 days, and from eq.(1) we find the number of pages in the book:
[tex]n=25d=25 (7)=175[/tex]
