Question

A chunk of pages fell out of a book, the first page was page 439, and the number of the last page of the chunk had the same digits but in a different order. How many pages were in the chunk?

(don't answer unless u actually know the answer)

Answer 1

55, 496, or 505

Explanation:

First we need to find the number of the last page, so we know that the last page must be bigger than the first and the digits are switched, leaving us with 3 possibilities:

1. 493

2.934

3.943

So now we have to subtract each possibility and add 1 because the last page counts

1. 493 - 439 = 54 + 1 = 55

2. 934 - 439 = 495 + 1 = 496

3. 943 - 439 = 504 + 1 = 505

So it is either 3 of these possibilities