Determine-all-positive-integers-a-b-c-d-x-y-z-t-and-a-b-c-d-which-satisfy-a-b-c-td-b-c-d-xa-c-d-a-yb-d-a-b-zc-

Question Number 155206 by mathdanisur last updated on 26/Sep/21

Determine all positive integers

a; b; c; d; x; y; z; t and a \neq b \neq c \neq d

which satisfy a + b + c = td;

b + c + d = xa; c + d + a = yb; d + a + b = zc