Welcome to June 2018 Problem:  

Does equation

2018(x+y) =xy

have integer solutions ?

No calculator !


Answer Submission Is Not Available

Form is valid through June 2018


Dear friends and visitors of the site.

Thank you for your solutions.

The first to send a correct one were Jacob and Patrick.

Our congratulations to them!


Here is my solution:

You can rearrange the equation as

(x-2018)(y-2018)=20182    So the solutions are

x=y=4036 or x=y=0

I wish you all a great summer.

See you back in September. Serge Hazanov