Kenneth Graham, 52, was found covered in blood in the kitchen of their house in South Queensferry, West Lothian, while his wife Donna, 51, was found dead in bed with a pillow next to her on Sunday evening.
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The couple, who were due to celebrate their 30th wedding anniversary on Monday, are thought to have died in a murder-suicide. Their bodies were found by one of their daughter's Laura.
Police confirmed they were not looking for anyone in connection with the deaths.
In a statement issued by police, their daughters Laura and Lisa spoke of their grief.
They said: "We are all devastated by what's happened. We can't explain how we are feeling and just want private space to come to terms with the shock. Our parents were the most loving, caring couple and the shock of their deaths is too hard to come to terms with."