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

Answer 1

Let's call the first page number x. Both pages are next to each other, so the second page number is x+1.

We want the product of the two to equal 600, so: x * (x+1) = 600

Let's solve for x.

distribute the x:

x²+x = 600

set equal to 0:

x²+x -600 = 0

Factor:

(x+25)(x-24) = 0

x = -25, x=24

we can't have negatives, so we know our x is 24! That means the first page number is 24 and the second is 24 + 1 = 25.

Answer: 24 & 25