Tom is currently two times older than Ann, which means he is 6 * 2 = <<6*2=12>>12 years old.
In ten years Ann is going to be 6 + 10 = 16 years old.
And Tom is going to be 12 + 10 = <<12+10=22>>22 years old.
So the sum of their ages will be 16 + 22 = <<16+22=38>>38.
#### 38