## Problem

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

## Solution

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)=2018^{2 }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
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