Joshua adds 54 cards to the total and Karl lost 79 cards from the total.
The net loss to the total cards is 79 – 54 = 25 cards.
When they have 193 cards in the end, that would mean in the beginning they had,
193 + 25 = 218 cards
They shared equally in the beginning, so Joshua had 218/2= 109 cards in the beginning.
Since he bought 54 cards to add on, in the end he has 109 + 54 = 163 cards ###