Emma flipped her book to the middle. The sum of the two facing page numbers is 263.
- 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 = 263
2 u = 263 - 1
2 u = 262
1 u = 262 ÷ 2 = 131
Smaller page number
= 1 u
= 131
Bigger page number
= 1 u + 1
= 131 + 1
= 132
The two page numbers are 131 and 132.
(b)
Since Emma 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
= 131 + 131
= 262
Answer(s): (a) 131, 132; (b) 262