The number of existing homes sold in Washington state increased in the third quarter compared with the previous three months, the Washington Center for Real Estate Research reported Tuesday.

The federal first-time homebuyer tax credit helped sales increase 15.6 percent, according to the center at Washington State University. Sales also were 2.6 percent higher than a year ago, the center said.

It was the first year-to-year improvement in sales since the fourth quarter of 2005.

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