Fanny flipped her book to the middle. The sum of the two facing page numbers is 111.
- What are the two page numbers? Give your answer in this format. (Eg 1, 2)
- How many pages are there in the book?
(a)
Smaller page number = 1 u
Bigger page number = 1 u + 1
Sum of the two facing page numbers
= 1 u + 1 u + 1
= 2 u + 1
2 u + 1 = 111
2 u = 111 - 1
2 u = 110
1 u = 110 ÷ 2 = 55
Smaller page number
= 1 u
= 55
Bigger page number
= 1 u + 1
= 55 + 1
= 56
The two page numbers are 55 and 56.
(b)
Since Fanny flipped her book to the middle, the number of pages on the left side and the right side of the book is the same.
Total number of pages in the book
= 55 + 55
= 110
Answer(s): (a) 55, 56; (b) 110
