Peter opened his book and found that the product of the page numbers for two facing pages was 156. What were the page numbers?

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Mathematics

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27 April, 12:00

Peter opened his book and found that the product of the page numbers for two facing pages was 156. What were the page numbers?

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Brooke Dennis · Answer 1

Assuming that the numbers are right next to each other, we have

(x) * (x+1) = 156, expanding into x^2+x=156 and then x^2+x-156=0. We can then use the quadratic formula to get x = (-1+-sqrt (1+624)) / 2 = (-1+-25) / 2 = 12, - 13. - 13 wouldn't be a page number, so 12 must be one number, and 12+1 (13) is the other!