A book has N consecutive pages torn out. Suppose A is the last numbered page before the torn out section and B is the forst numbered page following the torn out section. Fins the formula for N in terms of A and B
* Each paper in the book has 2 sides. Each side is one page
Cvch
To find the formula for N in terms of A and B, we need to consider the number of torn out pages.
Let's visualize the situation:
- Before the torn out section, there are A pages.
- After the torn out section, there are B pages.
Since each paper in the book has two sides, the number of pages before the torn out section must be even (A must be even). Similarly, the number of pages after the torn out section must also be even (B must be even).
To find the number of pages torn out (N), we can subtract the number of pages before the torn out section (A) and the number of pages after the torn out section (B) from the total number of pages in the book.
We know that the total number of pages in the book is the sum of the pages before and after the torn out section, plus the torn out pages:
Total pages = (A + B) + N
However, since each side of a paper is numbered, the number of pages on one side of paper is half the total number of pages. Thus, the total number of pages can be written as:
Total pages = 2 * (A + B) + N
Now we can rearrange the equation to find N in terms of A and B:
N = Total pages - 2 * (A + B)
Therefore, the formula for N in terms of A and B is:
N = Total pages - 2 * (A + B)