Markus has 9 candies and Katharina has 5 candies. Sanjiv gives away a total of 10 candies to Markus and Katharina so that Markus and Katharina each end up with the same total number of candies. How many candies does Markus have now?
Between them, Markus and Katharina have $9+5=14$ candies.

When Sanjiv gives 10 candies in total to Markus and Katharina, they now have $14+10=24$ candies in total.

Since Markus and Katharina have the same number of candies, they each have $\frac{1}{2} \cdot 24=12$ candies.

ANSWER: 12