If the other blogger publishes the article, it can be not well received by Google because of duplicate content. However his website wont' be penalized.
If you want avoid SEO problems, you can ask to Google to remove your webpage (article) from its index. You can do it in Webmaster Tools (menu Optimization => Remove URLs). If you don't use this functionality of Webmaster Tools, Google will do it by itself.
When your webpage will be removed from Google index, the other blogger could publish article without SEO problem (if the article has non-copied content).
My answer above is relevant if you don't need other blogger page takes notoriety of your old article. Otherwise, you should do 301 redirect to his article. The aim of 301 redirect is to specify to Google that a webpage doesn't exist anymore and is replaced by a webpage located to specified URL (in 301 redirect). Indeed, to perform 301 redirect, you can use .htaccess if you use Apache Server for your website.