Kylie flipped her book to the middle. The sum of the two facing page numbers is 291.
- 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 = 291
2 u = 291 - 1
2 u = 290
1 u = 290 ÷ 2 = 145
Smaller page number
= 1 u
= 145
Bigger page number
= 1 u + 1
= 145 + 1
= 146
The two page numbers are 145 and 146.
(b)
Since Kylie 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
= 145 + 145
= 290
Answer(s): (a) 145, 146; (b) 290
