Cay you Help me find the variables in this brain teaser?

Question

Each letter equals a number 0-9, if the letter appears twice it equals the same thing, only one letter per number.

I did this problem a long time ago, and I can't find the answers-though I want to share it to my friend. Please give me what the variables equal? It takes logic and math to solve:

HEAT+ICE=WATER

Answer 1

There are two possible solutions:



HEAT + ICE = WATER

9705 + 867 = 10572

9804 + 678 = 10482



Some of this is obvious. The only way to get a 5 digit answer is if the four digit number starts with 9 (H=9). Also the carry will have to be 1 (W = 1) and A can't be anything by 0.



From there you can do a little more trial and error or logic to figure things out. For example, if A = 0, then you have to expect a carry of 1 from T+E. That will make E be one more than C.



That gets you this:

T+E = 10+R

C+1 = E



Note: since numbers can't repeat, you need to eliminate 0,1 and 9 from possible choices. That limits your choices for T, E, C, R and I.



Anyway, the final answers are:

HEAT + ICE = WATER

9705 + 867 = 10572

9804 + 678 = 10482

Answer 2

you know that W must be 1, and H must be 9 , and A must be 0 (from the fact that is is a 5 digit answer, adding a 4 digit and a 3 digit number



.9E0T

+.ICE

--------

10TER



now just play around with the combinations that are left until you get one that works

(ex: E + C > 10, E = C+ 1, T + E > 10)



one solution:

...9705

+..867

-----------

10572

Answer 3

HEAT

ICE

-----------

WATER



1)W must be 1

2)H must be 9

3)A = 0

4)E+I = T+10 = 12-15 (5,7->2 5,8->3 6,7->3 6,8->4 7,8->5)

5)T+E = R+10= 12-15

6)E = C+1

Possibilities:

EITRC

86427

78526



9804

678

-------

10482



9705

867

-------

10572

Answer 4

Hint: first look for the letters that repeat on

both sides of the = sign.

Then you only have four singletons to play with.

Answer 5

they have websites for these problems that solve them for you. i know, because i had to create one of these and i wanted to check to see if i messed up. you just need to type in what these are called....ugh....aren't they called cryptarythms or something?

Answer 6

Puzzling is puzzling.