Problema Solution

The product of the page numbers on two facing pages of a book is

306. Find the page numbers.

Answer provided by our tutors

The page numbers are two consecutive integers.

Let 'x' and 'x + 1' represent the numbers of the facing pages, where x is natural number.

x(x + 1) = 306

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click here to see the quadratic equation solved for x

........

x = 17

We need to ignore the negative solution -18 since the page numbers are always positive.

17 + 1 = 18

Indeed, 17*18 = 306

The page numbers are 17 and 18.