Question 337927
This is a systems of equations problem.  You have two equations and two unknowns.
First: {{{x*y=1332}}}
Second: {{{y=x+1}}} because if the pages are facing each other, then they are consecutive integers, like 134 and 135, for instance.

Substitute x+1 for y in first equation:
{{{x*(x+1)=1332}}}
distribute x  
{{{x^2+x=1332}}}
solve the quadratic for 0
{{{x^2+x-1332=0}}}
Factor (look for two numbers that multiply to 1332 and add or subtract to 1
{{{(x+37)(x-36)=0}}}
x=-37, x=36
x=-37 does not make sense for this question, so x=36. Since y=x+1, y=36+1=37
Therefore the facing pages are 36 and 37.