Pregnancy test turned positive after limit?

I took a pregnancy test the other night, and then a second test when I woke up with first morning's urine. The test I had taken the night before turned positive with a thin blue line the next day, while the test I had taken in the morning turned positive a few hours later. Are these valid or should I discard them? I am almost 2 weeks late with my period now and I'm usually on time like clockwork.