Sort 2 views in a page by 2 different ways
Well, as I understand, 


You have created a 'page view' and a 'block view'. 
Now you want those to be sorted in two different ways. 


Well, that's straight forward. But I got a confusion with your statement '..and place them in a page..'. Do you want to mean that you shall place your 'page view' and 'block view' in a another page? If so, then it's not the right approach, as you already have a 'page view' which will have it's own URL or, MENU. 

Now, considering the feasible scinario where you want to display 'block view' in the 'page view' where both will have same content but in different sort orders, that you can just manage from drupal view's sort criteria.

Hope it helps