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
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
To find the number that the letter "TWO" represents, we can approach this problem by solving it systematically.
We can start by examining the sum of the ones place of "ONE" with the ones place of "ONE." Since the sum "ONE + ONE" equals "TWO," we know that the ones place of "TWO" must be equal to an even number (2, 4, 6, or 8).
Next, we check the possible values for the carry-over when adding the tens places of "ONE" and "ONE" to the sum "TWO." Since there is no carry-over, we know that the tens place of "TWO" must be less than 5.
With this information, we can start substituting different numbers for the letter "TWO" and see if they satisfy the given conditions.
One possible solution you found is "TWO = 2." In this case, the number becomes:
134
+134
------
268
Another possible solution you found is "TWO = 6." In this case, the number becomes:
356
+356
------
712
By systematically substituting different numbers for "TWO" and checking if all the conditions are satisfied, we can find any other potential solutions.
However, it's worth noting that there may not be any other solutions. In this case, "TWO" could only represent 2 or 6 based on the given information.