As others have said, an income of £24,000 can mean different things to different people.
If you are living in a well maintained, mortgage-free home with lots of energy saving features and you have no dependents, then £24,000 is a reasonable income.
If you have dependents, are having to pay rent or a mortgage and are living in a house that is proving costly to maintain and heat, are having to pay travel costs to get to work, etc. etc., £24,000 isn't very much at all.
I think it is probably fair to say it is unlikely that we have the same degree of life-threatening poverty that can be seen in developing countries. However, there are certainly people who are unable to heat or furnish their homes properly, who find it very difficult to adequately dress and feed themselves and their children or to pay for unexpected repairs and replacements and who have no spare money for days out or meals out. I think, in the context of a rich country which (usually) endures long, cold winters, that constitutes very real poverty.
I don't find the argument "it was much worse in my day" very persuasive because if it had been accepted by the generations before us then we would still be living in freezing cold homes (many without proper bathing/toilet facilities), working six and a half days a week, 9 hours a day, with no holiday pay, employment rights, automatic access to health care or pension.