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# The product of the page numbers on two facing pages of a book is 506 find the page numbers. ⚑ Flag

by Kelly265 at September 04, 2010

since the page numbers are consecutive numbers, this means that one number is odd and one number is even and one is 1 more than the other. lets say we have 2 numbers x and y that are consecutive. y = x + 1 so the product is x*y=506 or x*(x+1) = 506   |     x^2 + x = 506 x^2 + x -506 = 0 this is a quadratic equation which can be easily solved by a quadratic formula or can be factored into following. (x+23)(x-22)=0 using the distributive property we have x = -23 and +22 x = -23 is an admissible so we will ignore it. therefore x = 22 since y = x +1, y = 23 Therefore, the two numbers on the facing pages are 22 and 23. you can check wheather or not you are right: 22 * 23 is indeed 506 so yes!! our solution is correct. Note: ofcourse u could have guessed as well to get the answer but it will not get you the marks.

singh September 05, 2010

22 and 23

GURUKID September 06, 2010
The text contains a mathematical word problem about finding two consecutive page numbers in a book whose product is 506. The problem is solved in detail, and the answer (22 and 23) is provided and verified.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Quick Homework Help

# The product of the page numbers on two facing pages of a book is 506 find the page numbers. ⚑ Flag

by Kelly265 at September 04, 2010

since the page numbers are consecutive numbers, this means that one number is odd and one number is even and one is 1 more than the other. lets say we have 2 numbers x and y that are consecutive. y = x + 1 so the product is x*y=506 or x*(x+1) = 506   |     x^2 + x = 506 x^2 + x -506 = 0 this is a quadratic equation which can be easily solved by a quadratic formula or can be factored into following. (x+23)(x-22)=0 using the distributive property we have x = -23 and +22 x = -23 is an admissible so we will ignore it. therefore x = 22 since y = x +1, y = 23 Therefore, the two numbers on the facing pages are 22 and 23. you can check wheather or not you are right: 22 * 23 is indeed 506 so yes!! our solution is correct. Note: ofcourse u could have guessed as well to get the answer but it will not get you the marks.

singh September 05, 2010

22 and 23

GURUKID September 06, 2010
user
The text contains a mathematical word problem about finding two consecutive page numbers in a book whose product is 506. The problem is solved in detail, and the answer (22 and 23) is provided and verified.

TYPE: SINGLE_QUESTION_WITH_ANSWER