Math Trivia [3]

Question:
Six numbers from a list of nine integers are 7, 8, 3, 5, 9, and 5. What is the largest possible value of the median of all nine numbers in this list?

Answer:
Please find the solution/explanation and answer in the comments below.

Math Trivia [2]

Question:
Find the largest three-digit number such that the number minus the sum of its digits is a perfect square.

Answer:
Please find the solution and answer in the comments below.

Math Trivia [1]

If

WXY = 10

WYZ = 5

WXZ = 45

XYZ = 12

What is W + Y?

Find the solution in the comments below. Please share if you have a better solution.