Answer:

34

Step-by-step explanation:

To find out the age of Ms. Lynis, we need to first find out the sum of all prime factors of 16,200. Let's split this number into its prime factors:

16,200 = 2 * 2 * 2 * 5 * 5 * 11 * 5 * 7 * 2

Therefore, the sum of all prime factors of 16,200 is:

2 + 2 + 2 + 5 + 5 + 11 + 1 * (5 + 7 + 2) = 14 + 20 = 34

Since Ms. Lynis' age is the sum of all prime factors of 16,200, her age is 34.