A student opens a mathematics book to two facing pages the product of the page numbers is 600 Find the page numbers?

if we call the first page A and the second page B we know that B = A+1

And if we multiply A by A+1 we get A2 + A.

So, we want to find the square root of A... and the only clue we have is that it is close to 272

The square root of 272 = 16.4924.

The number of the right hand page of a book is always the odd one.

So we can try 16 and 17, and we see instantly that 16 x 17 = 272.