Scott and Roger have a total of 105 trading cards. Scott has 23 as many cards as Roger. How many trading cards does each person have?

Let's denote the number of trading cards Roger has as R. According to the problem, Scott has 23 times as many cards as Roger, so we can denote Scott's cards as 23R.

The problem states that together, they have 105 cards. So, we can set up the following equation:

R (Roger's cards) + 23R (Scott's cards) = 105

Combining like terms gives us:

24R = 105

To find the value of R (the number of cards Roger has), we divide both sides of the equation by 24:

R = 105 / 24

R = 4.375

Since it's not possible to have a fraction of a trading card, it seems there might be a mistake in the problem. The number of cards Scott has is supposed to be a whole number, but with these values, it would be 23 * 4.375 = 100.625, which is not a whole number. Please check the problem again.