Question

Suppose that WARM – COLD = 6591 and each letter represents a different digit from 0 through 7. What is the greatest four-digit number WARM?

Answer 1

• 7643

Explanation:

We are supposed to use digits 0 through 7.

First, lets examine the numbers:

M and D should be adjacent digits (difference of 1), also R and L should be adjacent (difference of 9).

Since we are looking for the greatest WARM, let W = 7, then C should be 1.

Then, if we take A = 6, considering the difference of R and D, the value of O should be zero.

So we have:

• 76RM - 10LD = 6591

Digits left:

• 2, 3, 4, 5

Taking R = 4, gives us L = 5, then we are left with M = 3, D = 2

Final result is:

• 7643 - 1052 = 6591