Two classmates got together over the weekend to do their assigned History reading. Allie can read 3 pages per minute, while Javier can read 2 pages per minute. When they met, Allie had already read 26 pages, and Javier had already gotten through 47 pages. After a while, they had both read the same number of pages. How long did that take? How many pages had each one read?

1 answer

Let's assume it took them t minutes to read the same number of pages.
Allie reads 3t pages and Javier reads 2t pages.
We can set up the following equation to represent the situation:
3t + 26 = 2t + 47
Subtracting 2t from both sides of the equation, we get:
t + 26 = 47
Subtracting 26 from both sides of the equation, we get:
t = 21
So, it took them 21 minutes to read the same number of pages.
Allie read 3 * 21 = <<3*21=63>>63 pages.
Javier read 2 * 21 = <<2*21=42>>42 pages. Answer: \boxed{63, 42}.