Dana flipped her book to the middle. The sum of the two facing page numbers is 233.
- 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 = 233
2 u = 233 - 1
2 u = 232
1 u = 232 ÷ 2 = 116
Smaller page number
= 1 u
= 116
Bigger page number
= 1 u + 1
= 116 + 1
= 117
The two page numbers are 116 and 117.
(b)
Since Dana 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
= 116 + 116
= 232
Answer(s): (a) 116, 117; (b) 232
