Question 419491
We could assign the page numbers to be {{{x}}} and {{{x+1}}} and obtain the quadratic {{{x(x+1) = 2162}}}. However the best way is to find factors of 2162 that meet the requirements.


45^2 = 2025, 46^2 = 2116, and 47^2 = 2209, so the page numbers must be within this range. We can "guess and check" and obtain {46,47} as the answer, since 46*47 = 2162.