WASHINGTON (AP) -- Republican presidential hopeful Mitt Romney, who promised early in his campaign to repeal President Barack Obama's health care overhaul, says he would keep several important parts of the overhaul.

"Of course there are a number of things that I like in health care reform that I'm going to put in place," he said in an interview broadcast Sunday on NBC's "Meet the Press." "One is to make sure that those with pre-existing conditions can get coverage."

Romney also said he would allow young adults to keep their coverage under their parents' health-insurance.

Those provisions have been two of the more popular parts of Obama's Affordable Care Act.

In the interview, Romney, a former Massachusetts governor, also said he would offset his proposed tax cuts by closing loopholes for high income taxpayers.