Can't question 13 from 2.5 exercise of polynomial be solved by by giving values to x, y and z?

prove that if x and y are odd positive integers then x^2+y^2 is even but not divisible by 4
If (a,2a,b) is the centroid of the triangle with vertices P (2a,1,5),Q (-4,3b,-10), and R (18,14,2c) then find the value of a,b and c.