If E,N,O,T, and W each represent a diffrent integer, can you find more than one solution to this problem?
ONE + ONE = TWO
Take the simplest approach first.
O + O must be 2 or 4, or 2O = T, without any carryover, c/o, from N + N.
Therefore:
O....E....T....N....W
2....1....4....3....6
4....2....8....3....6
Now consider carryovers from E + E and/or N + N and see what you can derive.