Elyse flipped her book to the middle. The sum of the two facing page numbers is 261.
- 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 = 261
2 u = 261 - 1
2 u = 260
1 u = 260 ÷ 2 = 130
Smaller page number
= 1 u
= 130
Bigger page number
= 1 u + 1
= 130 + 1
= 131
The two page numbers are 130 and 131.
(b)
Since Elyse 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
= 130 + 130
= 260
Answer(s): (a) 130, 131; (b) 260