Two unmarried partners. The man owns his own home rent and mortgage free and lives there alone. It's more of a storage facility than a home really, not possible to rent it out or sell it due to it's prohibitive renovation costs. The man is unemployed and claims Jobseeker's Allowance. He pays £5 a week via CSA for his two babies.
The mother of those babies lives with then in a privately rented house, claiming Housing Benefit and Income Support.
The couple couldn't live together because neither works and the man owns property, so they wouldn't be eligible for Housing Benefit if they lived together as a couple, despite the fact his house is in no habitable state (no utilities connected or able to connect due to semi-derelict state of house, etc).
The man has been unemployed for many years and is unllikely to find a job, as he's happy pottering and making Del Boy type cash as and when.
The woman has two babies under 2 and although she'd like to return to work, the man can't be considered responsible enough to care for those two children as he has hobbies involving live electronics and is complacent about the dangers to children.
How would this situation ever be resolved, in order that the people can all live together under one roof as a family, when the man outright refuses to get a job and the woman feels she can't get a job yet because of the childcare issues.
The man is also insistent that they would be left on a pittance if claiming benefits as a couple rather than as individuals, so there wouldnt be enough money to support all the family anyway if they all lived together.
(I know the easy answer is, "Get shot of the man altogether!" but that isn't a realistic option in real life !)