When a book is opened and the page numbers multiplied the product is 2,970. What was the numbers of the pages?

well if you open a book, you will find that the two pages
in front of you will be consecutive

Given that the two
pages are consecutive

let the first page be page
X

then the second page is page
x+1

By definition of
multiplication

X(X+1)=2970

X^2+X-2970=0

well
this needs some factoring

first we see there is a 5 in a
2970 (obvious)

2970/5=594

i
see a two in the
number

594/2=297

2+9+7= 18
thats a multiple of 3

297/3=99 which is still a multiple of
3

99/3= 33 which is still a multiple of
3

33/3=11 Youa re left with a prime
number

so it is
5,2,3,3,3,11

you need to form two numbers that the
difference is one

by calculation, we find
out

5*11 = 55

2*3*3*3=
54

so the factoring is
(X+55)(X-54)=0

I dont know a book that has negative page
numbers

X= 54

so the two pages
are 54 and 55