Question

Two pages that face each other in a book have 349 as the sum of their page numbers. What is the number of the page that comes first?

Answer 1

Answer: 174

Explanation:

For this problem, let's divide the number by two since we know it's a combination of two numbers in a series as they are two consecutive book pages.

349 / 2 = 174.5

Note, that the number we have is a decimal, and page numbers cannot be partial numbers, they must be integers. With this, we can take the lower and the upper of our decimal numbers to retrieve the two-page numbers.

174.5 (Upper) ==> 175

174.5 (Lower) ==> 174

With this, we can verify these numbers have a sum of 349.

175 + 174 =? 349

349 == 349

So indeed, these numbers are a sum of 349. Now that we know these are our page numbers, we know 174 will come before 175 since page numbers are sequential.

Cheers.