CNN || Clinton and McCain the comeback kids

Sens. Hillary Clinton and John McCain received much-needed boosts from New Hampshire Tuesday.

Clinton, coming off a disappointing third-place finish in Iowa, rebounded to overcome rival Sen. Barack Obama in the state's Democratic primary.

Supporters at her headquarters chanted "comeback kid" as the results came in.

Clinton trailed Obama by 9 points in recent polls.

On the Republican side, McCain easily won his party's primary.

The results mark a resurgence for the Arizona senator, whose campaign was all but written off this summer. What do the results mean?

Clinton and McCain embraced their comeback positions in addressing supporters Tuesday night.

"Over the last week, I listened to you, and in the process I found my own voice," Clinton said to a crowd of young supporters. Watch Clinton thank New Hampshire

"Now together, let's give America the kind of comeback that New Hampshire has just given me."

McCain, a 71-year-old, four-term senator, was met by a crowd shouting, "Mac is back." Watch McCain celebrate his win

"I'm past the age when I can claim the noun 'kid,' no matter what adjective precedes it, but we sure showed them what a comeback looks like," he said.

McCain pinned his win on "one strategy" -- telling the people of New Hampshire what he believes. Watch a slideshow of the candidates' speeches

"When the pundits declared us finished, I told them, 'I'm going to New Hampshire, where the voters don't let you make their decisions for them,' " he said. " 'I'm going to New Hampshire, and I'm going to tell people the truth.' "

Female voters and older voters helped hand Clinton the Democratic win, according to exit polls.

In Iowa, Clinton lost out to Obama among women 35 percent to 30 percent. In New Hampshire, however, 45 percent of female Democratic primary voters picked Clinton, compared to 36 percent who went for Obama.