This can be solved algebraically.
Set the variable x as the number of cards Bob has.
Then express the number of cards that Bill has, in terms of x (Bob's cards).
Bob = x
Bill = only 1/3 as many as Bob
Their total is 68.
So x + (1/3 x) = 68
4/3 x = 68
Multiply both sides by 3.
4x = 204
and x =51 and 1/3 x = 17
So Bob has 51 cards and Bill has a third as many, or 17, for a total of 68.
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