Gwen flipped her book to the middle. The sum of the two facing page numbers is 265.
- 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 = 265
2 u = 265 - 1
2 u = 264
1 u = 264 ÷ 2 = 132
Smaller page number
= 1 u
= 132
Bigger page number
= 1 u + 1
= 132 + 1
= 133
The two page numbers are 132 and 133.
(b)
Since Gwen 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
= 132 + 132
= 264
Answer(s): (a) 132, 133; (b) 264