title: Given a Week Number, Return the First Day of the Week in T-SQL
body: <p>This will give me a week number based on a date:</p>
  
  <pre><code>SELECT DATEPART(wk, '7/27/2016') AS [Week]
  </code></pre>
  
  <p>For example, that returns 31.</p>
  
  <p>Now, what I need to do is find the first day of that week, and return it in a short date format.  For example:</p>
  
  <pre><code>Given Week: 31
  Return First Day of Week: July 24
  </code></pre>
  
  <p>Or</p>
  
  <pre><code>Given Week: 52
  Return First Day of Week: Dec 25
  </code></pre>
  
  <p>I believe the default first day of the week is Sunday, and that's the date I need.</p>
  
  <p>I've seen several posts here that come close, but none get me all the way there.</p>
  
  <p>Thanks!</p>