A person has two credit cards with annual interest rates of 10.9 % and 19.9 % respectively. This month, the total interest for the month due on the balances is $\181.95$ and the interest due on the first card (at 10.9 %) is $\116.55$ less than the interest due on the second card. Find the balances on the two cards.
Balance on the first card at 10.9 % = $. Balance on the second card =$ .