Never Ask a Woman Her Age

Jennifer, Shannon, Jessica, Kate, and Janice, whose last names are Peterson, Smith, Malone, Ware, and Lewis, all go to the same exercise gym. From the clues below, try to determine the first and last name of each woman and her age. Their ages are 80, 60, 50, 40, and 20.

1) Jennifer's name is not Malone.
2) Kate is twice as old as Lewis, but only half as old as Shannon.
3) Jessica is 10 years older than Mrs. Smith, but 10 years younger than Mrs. Peterson.
4) Janice is 20 years older than Kate and 20 years younger than Mrs. Ware.
5) Kate is 10 years younger than Jessica but 20 years older than Jennifer.