At a dog show, there is a total of 49 dogs. there are 36 more small dogs than big dogs. how many big dogs are there? how many small dogs are there?

Assuming that the big dogs are x;
 then the small dogs will be x+36
Hence the total; 49
Thus, x+36+x=49
      = 2x =13
         x= 13/2
          = 6.5
          while x +36 = 42.5
But, we cant have half dogs
Therefore, we can either have 7 big dogs and 42 small dogs, or 6 big dogs and 43 small dogs.