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

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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.