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# If the sum of two pages is 19 and the sum of the next is 2, what page was I reading?

I noticed that the sum of the digits of the number on the page I was reading was 19, and the sum of the next digits on the page was 2. What was the number of the page I was reading?

### 3 Answers by Expert Tutors

Andrew R. | Patient and Knowledgeable Math TutorPatient and Knowledgeable Math Tutor
4.7 4.7 (26 lesson ratings) (26)
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The two pages you were reading were pages: 99 and 100.

9 + 9 + 1 + 0 + 0 = 19

The next page is: 101.

1 + 0 + 1 = 2

Therefore you were reading page 100 because the NEXT page must be page 101.

William N. | Performance, precision, and personality: Simply the best!Performance, precision, and personality:...
4.0 4.0 (1 lesson ratings) (1)
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The confusion is with the presentation of the question.  Both Nataliya and Andrew are right, and both a little wrong.  Emilia from Chino first says that the sum of the digits from TWO pages was 19 (heading in green), but then asserts a single page in the text.  There is no correct answer possible, as the student presents two different questions whose answers are exclusive.  Both tutors realized the problem ran to the 99, x00 moment, but each should have recognized the impossibility of providing a single correct answer.  Andrew misses in that 100 does not satisfy the conditions in the text part of the question, and Natalya avoids the assertion in the heading that 2 pages, not one, are involved.  However, Andrew stretches further than Natalya in that he apparently believes two pages can be read simultaneously.  I wish that both tutors had rejected the question as unanswerable rather than provide solutions which satisfied no one.

Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...
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You were reading page number 199
pg 199: 1 + 9 + 9 = 19 and next page is 200: 2 + 0 + 0 = 2