The man has an artificial leg, and the boys, 16 and 11, were able to describe him, right down to his limp, officials said.
The boys were at home alone when a man rang their doorbell mid-morning, Snohomish County sheriff's spokeswoman Shari Ireton said.
They didn't answer the door because they didn't recognize the man, Ireton said.
The man then allegedly went around to the back of the house and kicked in the door.
The boys hid in the master bathroom and called 911. The man came into the room, saw them and ran away.
Police surrounded the area and tracked the suspect "through knee-high wet grass and creeks before finally capturing him a quarter mile away," Ireton said.
The man, 36, of Arlington, was expected to be booked into Snohomish County Jail.
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