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Question: Sarah opened her math textbook. The product of the page numbers she saw was 210. What were the page numbers?


A ) 5, 42
B ) 14, 15
C ) 10, 21
D ) 7, 30

Steps to derive

1 If n is one number then the other is either (n + 1) or (n - 1).
 [When someone opens a book, they see two consecutive numbers as page numbers..]

2 n(n + 1) = 210 or (n - 1)n = 210
 [The product of the page numbers Sarah saw was 210.]

3 Factors of 210 are: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, . . and a few more.
 [Listing the factors would help identify the two consecutive numbers.]

4 14 and 15 are the two consecutive numbers that multiply to give 210.

5 So, the page numbers that Sarah saw were 14 and 15.



Hence the right answer is Option B

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