When you divide me by 5 and get a remainder 4. i have two digits. both odd. the sum of my digits 10

From the first line we know that the correct answer is 4 more than a multiple of 5.
Since we also know it is a two digit number, and all multiples of 5 in base ten end with a 5 or a 0, we know the second digit must be either 4 or 9.  However, since it must be odd, 9 is the only option.  Finally, subtract that from ten to get the other digit (1, which is odd so we are good) and the answer is 19

The answer would be (c)