Asking for a friend 
Elderly Father died in September, no will but assumed everything to go to mum. No property. Approx £30k in their joint account. Mum in care home, using the £30k to pay fees.
Mum died a few weeks ago. Approx £20k left.
What next? There were no wills, they wanted everything split equally between their adult children.
Eldest adult child not interested/capable of dealing with any legalities.