Hilda flipped her book to the middle. The sum of the two facing page numbers is 247.
- 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 = 247
2 u = 247 - 1
2 u = 246
1 u = 246 ÷ 2 = 123
Smaller page number
= 1 u
= 123
Bigger page number
= 1 u + 1
= 123 + 1
= 124
The two page numbers are 123 and 124.
(b)
Since Hilda 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
= 123 + 123
= 246
Answer(s): (a) 123, 124; (b) 246