In $2010$, a swim club had a total of $35$ swimmers, each classified as either advanced or intermediate. From $2010$ to $2020$, the number of advanced swimmers in the club increased by approximately $53\%$, and the number of intermediate swimmers in the club increased by approximately $44\%$. The total number of swimmers in the club increased by approximately $49\%$. Which equation best represents this situation, where $a$ represents the number of advanced swimmers in the club in $2010$ and $b$ represents the number of intermediate swimmers in the club in $2010$?