Vanessa flipped her book to the middle. The sum of the two facing page numbers is 267.
- 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 = 267
2 u = 267 - 1
2 u = 266
1 u = 266 ÷ 2 = 133
Smaller page number
= 1 u
= 133
Bigger page number
= 1 u + 1
= 133 + 1
= 134
The two page numbers are 133 and 134.
(b)
Since Vanessa 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
= 133 + 133
= 266
Answer(s): (a) 133, 134; (b) 266