Nicole flipped her book to the middle. The sum of the two facing page numbers is 219.
- 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 = 219
2 u = 219 - 1
2 u = 218
1 u = 218 ÷ 2 = 109
Smaller page number
= 1 u
= 109
Bigger page number
= 1 u + 1
= 109 + 1
= 110
The two page numbers are 109 and 110.
(b)
Since Nicole 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
= 109 + 109
= 218
Answer(s): (a) 109, 110; (b) 218