Asked by edina

each letter represents a different digit from 1 to 9. what number TWO represents?
ONE
+ ONE
---------------
TWO

i found two solution so far but only by trial and error, can someone tell me if there is more and what they are?

134
+134
------
268


356
+356
-----
712
Answered by Reiny
ONE
ONE
-----
TWO

your answers don't work, since the starting digit of each of the two numbers must equal the unit digit of the answer, namely the O must be the same in all places. Your's isn't

case#1 : let E = 1
then:
2N1
2N1
----
4W2, how about N = 3, can't be 1 or 2

then
231
231
----
462 --->O=2, N=3, E=1,T=4,W=6

case #2, let E = 2
4N2
4N2
----
8W4 , N could be 1, or 3
giving us 2 more cases

could E be 3 ? Then ...
6N3
6N3
----
XN6 , where X = 12, which is not possible
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