The two grandfathers, named locally as Jim Murdoch, 49, and Raymond Murdoch, 46, were found by their younger sibling, William.
As reported in yesterday's Evening Times, officers are believed to be investigating whether the deaths, in Broadfield Avenue, Port Glasgow, are drugs-related.
Meanwhile, local councillor Jim MacLeod said the deaths were a tragedy.
He said: "It is sad news for the whole community. Hopefully we can find out what's happened as soon as possible.
"It is a tragedy to see anyone pass away let alone two brothers in the same house. My condolences to their family and friends."
Emergency services raced to the house in the quiet street at around 4pm on Saturday after the pair were discovered.
Teams of forensic officers were later seen carrying out a detailed search of the bungalow and a cordon was placed around the property.
Police said the deaths are being treated as "unexplained" and a post-mortem examination will be carried out in the coming days to establish the cause of death.
It is understood toxicology and blood tests will also take place but the results can take several weeks.
A Police Scotland spokeswoman said inquiries were continuing into the death.
She said: "We can confirm at around 4.10pm on Saturday, October 5, the bodies of two men, aged 46 and 49, were found within a house in Port Glasgow.
"At this time, the deaths are being treated as unexplained."
Detectives are understood to be working to find out how they died and a report will be sent to the procurator fiscal.