You are the proud new pup-parent of a brand new puppy! When you bring the pup for his first check-up, the vet explains to you that it's a common misconception that dogs age 7 "dog years" for every human year. Instead, he says, small breed dogs age 15 "dog years" in the first year, 9 "dog years" in the second year, and 4 "dog years" per year after that. You wonder, when will my pup and I be the same age? Let's say I am currently 18.