Sum all values in column return highest

I'm having a small SQL problem - as I often do :P

How can I just return the highest summed amount out of all columns?

+-------+------+
| TYPE  |  VAL | Dog sums to 6    
|-------+------| Frog sums to 5 
| Cat   |    2 | Cat sums to 5
|-------|------| 
| Dog   |    3 |  
|-------|------| 
| Dog   |    3 | 
|-------|------|
| Cat   |    2 | 
|-------|------|
| Cat   |    1 |
|-------|------|
| Frog  |    5 | 
+-------+------+

For instance, from the table above I just want to return -

+-------+------+
| TYPE  |  VAL |    
|-------+------| 
| Dog   |    6 | 
+-------+------+

How could I sum all columns, and then return the one with the highest summed value?

Thanks for your time