Two Australians have been found dead at a luxury hotel in the Philippines alongside the body of a Filipina.

The bodies were discovered with their hands and feet tied in a room at the Lake Hotel in Tagaytay, a resort city south of the nation’s capital.

The victims have been named in media reports as David James Fisk, 57, his wife, Lucita Barquin Cortez, 55, a Philippine-born Australian citizen, and a younger relative of Cortez.

Tagaytay’s police chief, Charles Daven Capagcuan, said the motive for the killings was not known and some valuables, including the victims’ phones, had not been taken.

Investigators were interviewing witnesses and examining security cameras.

Footage showed a man wearing a mask and a hoodie and carrying a sling bag walking out of the victims’ room a few hours before their bodies were discovered, Capagcuan said.

Australia’s Department of Foreign Affairs also did not reveal the Australians identities but confirmed it was providing consular assistance to their families.

“We send our condolences to the families at this difficult time,” a spokesperson said.

Tagaytay’s mayor, Abraham Tolentino, said he was shocked by the discovery and apologised to the victims’ families.

“We’re very sorry to our Australian friends,” he said. “We will resolve this as soon as possible.”

The couple had flown from Sydney to Bali for a holiday then went to the Philippines on Monday to visit her two children, and decided to take a short break in Tagaytay before returning to Australia, a relative of the woman said.

The remains of Fisk would be flown back to Sydney and the two women would be buried in the Philippines, Tolentino said.

– with Associated Press