Solving Cryptarithms?

Question

What are the exact directions on solving a cryptarithm? It is sorta confusing...I coudn't find it on the internet. How do you solve it?

Answer 1

You use logic.

For example, if I have the cryptarithm

SEND + MORE = MONEY

then I know that M = 1. Why? Because adding two 4-digit numbers together and ending up with a 5-digit number guarantees that the first digit of the 5-digit number is 1. The 4-digit numbers could be as small as 5000+5000, or as large as 9999+9999, but either way, M must be 1.

So, if M = 1, we have

SEND + 1ORE = 1ONEY

Therefore, S must be either an 8 or a 9. You continue using deductive logic like this to solve the cryptarithm. Sometimes logic won't get you all the way, and you must make a guess. If it doesn't work out, you know you guessed wrong.

Answer 2

Notice that S and P dont change from the first addend to the final sum. This means there is no carry over from EED + ICE. This implies that EED + ICE < 1000. Aside from that, S and P can be anything you like. Notice that the last digits D + E = E. In order for the sum to be unchanged E when one of the addends is also an E, means that D=0. Because D=0, there is no carry over into the tens place. Likewise with the second from the last digit, and no carry over from the ones place, we have E+C = C. We have an addend C and a sum C, therefore the addend E = 0. I and C can be anything you want. S and P can be anything you want. As long as E and D are both 0.

Answer 3

AAA+BA