## Two Plus Two Equals Four

Each letter represents a different digit. Any digit can be used, but zero can never start a word. Given W = 2 and R = 6, what do the rest of the letters represent?

```  TWO
+ TWO
------
FOUR
```

F = 1
O = 8
R = 6
T = 9
U = 5
W = 2

```  928
+ 928
-----
1856
```
Posted in Brain Teasers

8 Comments on "Two Plus Two Equals Four"

jay says
June 5, 2019 @ 19:40

I could be wrong, but it seems like there could be a lot of potential answers to this as stated.

For example,

> 523
>+ 523
>—–
>1046

ASF says
October 29, 2019 @ 05:23

Jay, that cannot be a solution as you are using both 3 and 0 for the letter O.

Andrew says
November 13, 2020 @ 11:13

There are 7 possible answers for this:

Where TWO can be:
734, 765, 836, 846, 867, 928 and 938.

And no, I didn’t work them out manually – I wrote a Python program to do the work for me. :-)

........... says
September 22, 2021 @ 01:45

Andrew,

765 and 867 can not be answers because the letter o’s in the two’s have to be the same, making the answer even.

to the guy right above me says
January 21, 2022 @ 08:01

idk if he’ll ever see this but that andrew guy has it perfectly right. no answers for ‘two’ have to be even. when he said those values can be ‘two’, he’s adding the numbers to themselves. any whole number added to itself is an even number anyway, your original logic was flawed to begin with.

Phil says
December 1, 2022 @ 21:15

I did the same as Andrew and threw it into a Python script if you go with the W = 2 and R =6 specified then TWO=928 is the only solution, if you don’t get any preset value for W & R and each letter has to be represented by a unique number then I found 10 possible answers for TWO:

734,765,806,836,846,857,867,908,928 and 938.

Bob says
November 15, 2023 @ 03:05

There are only 7 answers to the problem.
Three of your answers are wrong. They are
908, 857 and 806..
908+908 = 1816 note the one is repeated.
857+857 = 1714 note the one is repeated
806+806 = 1612 note the one is repeated.

By the way I made the same mistake myself.
I solved it without a computer. Note there are 5 possibilities for T
5,6,7,8,9.
After you pick the number for T there are 8 possible choices for W.
Then the number for O is determined. So there are 40 possible
choices and it takes less then a minute to check if answer is
correct so in about a half hour you can solve it. By the way
I got the same answer as you but then I realized the 1 was
repeated. By the way my email address is not correct.
I just got my credit card hacked so I am reluctant to give
my email out to people I do not know.

M Venkatesan says
December 2, 2023 @ 21:04

Excellent ðŸ‘Œ