The attack occurred in the 2600 block of 63rd Avenue at about 10 a.m.
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In addition, police say a Pit Bull/Shar-Pei mix that belonged to the female victim was attacked and killed by the two dogs.
The daughter of the woman, says her mom 54-year-old Nichole Kennedy, suffered a broken leg and several severe bite wounds to her head and face.
"She had just come from getting coffee and smoking her cigarette. And she was coming down to take the dog walking," said Princess Kennedy.
"I'm just praying she'll be okay and just waiting on a phone call to go back up there and see. But, they were cleaning her up while the operating people were coming in and I thought my mom was dead," explained Kennedy.
The male victim is listed in stable condition at a local hospital, according to police.
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Oakland Animal Services also responded to the attack.
Rebecca Katz, that agency's director, said Animal Services is investigating the incident and has taken into custody the two Pit Bulls that were involved in the attack as well as the dog that was killed.
Katz said her agency also has taken into a custody another Pit Bull that's owned by the man who owns the two pit bulls that were the attackers.
The daughter of the female victim says her mom's dog was supposed to be turned over to animal control because of allegations that it had bitten someone.
Police are still investigating what happened in the dog attack and it's not clear if the owner of the Pit Bulls will face any charges.