GAUSS7 2024 Problem 25

Suppose that

w, x, y, z,(x+y),(x+z),(234+z), \text { and }(234-z)

are 8 different prime numbers. If w+x+y=234, and each of y and z is less than 50 , the value of w-y is

Answer Choices
A. 226
B. 150
C. 210
D. 174
E. 222