Answer: 160 pages.
Step-by-step explanation: Let's assume the total number of pages in the book is represented by "P."
On the first day, the student read 0.35 of the book, which can be expressed as 0.35P.
After the first day, the remaining pages in the book would be (P - 0.35P) = 0.65P.
On the second day, the student read 75 percent of the remaining pages, which can be expressed as 0.75 * 0.65P = 0.4875P.
In addition to that, the student also read another 26 pages on the second day.
So, the total number of pages read on the second day is 0.4875P + 26.
The total number of pages read in the two days is the sum of the pages read on each day:
0.35P + (0.4875P + 26) = 0.35P + 0.4875P + 26 = 0.8375P + 26.
According to the problem, this total is equal to the total number of pages in the book (P):
0.8375P + 26 = P.
Now, let's solve for P:
Subtract 0.8375P from both sides:
0.8375P + 26 - 0.8375P = P - 0.8375P,
26 = 0.1625P.
Finally, divide both sides by 0.1625 to find the total number of pages (P):
P = 26 / 0.1625 ≈ 160.
So, the book has approximately 160 pages.