So this is what I deduce:
The mother's age is 55. The plan is in 3-4 years. The intended term is 31 years. In other words: The mother would have to live to at least 90 to service the installments. Honestly, I see the first (small) problem here – because from my point of view, the ability to service the debt depends entirely on her.
The second I see in the basic constellation. Although mother and son together have a net income of 5,000 EUR, they will probably – from the bank's perspective – not be seen as one "household unit" because they do not share/cannot share a household.
In other words:
Two separate households with two separate household allowances. For the mother with 3,000 EUR net income this is not a problem – for the son I already see a rather tight debt service with 1,900 EUR net and three persons in the household (married and a child). But this probably also varies from bank to bank.
The third point: 25,000 EUR on a purchase price of 280,000 EUR – in case of doubt doesn’t even cover the additional purchase costs and can therefore, considering the overall constellation, become another problem.
The fourth point: Today, 280,000 EUR still seems plausible for a two-family house; in 3-4 years, with the same development, that might be clearly too low.....
I think there are too many variables here to make a reliable statement about this now.....