A man suspected of killing a Melbourne couple in their home is behind bars, charged with murder.

The bodies of Robert Adamson, 65, and his wife Cheryl, 60, were discovered in the back of their Murrumbeena home of 40 years on Wednesday afternoon.

Victorian homicide detectives arrested local man Thomas Hemming on Friday.

The 21-year-old has been charged with two counts of murder and faced an out-of-sessions hearing late on Friday, police said on Saturday morning.

He remains in custody and will face Melbourne Magistrates Court on Monday.

Mr Adamson was an accountant and his wife the senior teacher librarian at Melbourne Grammar School’s primary school, Grimwade House.