A bag contains a total of 16 golf balls, 6 of which are white. A golfer wants to add 112 golf balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?

Since the ratio is 6 white balls per 16 total balls, then the ratio is $\frac{6}{16}=\frac{3}{8}$.

$\frac{3}{8}$ of the 112 balls should be white, so he should add $3\cdot14=\boxed{42}$ white balls.

Thus, he should add $112-42=\boxed{70}$ striped balls.