The sum of the page numbers on the facing pages of a book is 373. What

1.	The sum of the page numbers on the facing pages of a book is 373. What are the page numbers?
Answer» Number of first page of a opened book x Number of second page = x + 1 ∴ The sum of the numbers of two pages = 373 ⇒ x + (x + 1) = 373 ⇒ 2x + 1 = 373 2x = 372 ⇒ x = 186 ∴x + 1 = 186 + 1 = 187 ∴ Numbers of two consecutive pages = 186, 187

The sum of the page numbers on the facing pages of a book is 373. What are the page numbers?

Answer»

Number of first page of a opened book x

Number of second page = x + 1

∴ The sum of the numbers of two pages = 373

⇒ x + (x + 1) = 373

⇒ 2x + 1 = 373

2x = 372

⇒ x = 186

∴x + 1 = 186 + 1 = 187

∴ Numbers of two consecutive pages = 186, 187