We want to find the largest value for WARM, we will get: WARM = 6743
The only real method is trial and error (this is more a puzzle than a math problem). We will start with the largest possible value of WARM, and we will go reducing it until we find the correct one.
If we assume that WARM is the largest possible value:
7654 = WARM
There is no form of arranging the other numbers in such a way that the difference is 6591.
For example:
7654 - 1032 = 6622
There is no possible change in the first 3 digits of warm (nor in any of the digits of cold) that allow the difference to be 6591, so we change the 6 and the 7 and go from there:
6754
Now we are really close of the difference, then cold must be something like:
COLD = 0123
Taking the difference we get:
6754 - 0123 = 6622
If we change the 5 by the 3, we get:
6734 - 0125 = 6609
Now we can change the 3 by the 4 and the 5 by the 2.
6743 - 0152 = 6591
So the largest value of WARM is 6743. Notice that there is no real analytical way of doing this, you just need to test a lot of options until you reach the correct one.
If you want to learn more about finding numbers, you can read:
https://brainly.com/question/6073713
