Problema Solution
A student open a mathematics book to two facing pages. The product of the page numbers is 702. Find the first and second page numbers.
Answer provided by our tutors
Let's have x represent the left page and (x+1) be the right page. Now the equation will look like this:
x(x+1)=702
Rewritten as:
x^2+x-702=0
Factor this to get:
(x-26)(x+27)=0
Solve for x:
x=26
x=-27
The sensible answer is 26 so the pages are
26 and 27
1st page=26
2nd page=27