Interesting Puzzles - Cryptarithms

A cryptarithm is an arithmetic puzzle in which each digit of a fundamental operation is assigned a definite letter as in a code.

The challenge is to break the code.

These problems require skilful use of logic, & the knowledge of number theory & algebra.

The task of creating a cryptarithmic puzzle is difficult & a challenging one. As you will see in subsequent problems, the problems are skilfully designed so that actual words from the dictionary appear in the problem.

In the beginning, the task may look a challenging one, but after some practice, you will find that the solution comes naturally to you.

One reason I have not included complete steps of solving these problems is that they are too large. It takes a great amount of time & considerable space to be able to write a complete solution to cryptarithmic puzzle.

Start & try to attack these problems right on!

#Logic #Cryptarithm

Easy Math Editor

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Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
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`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
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Comments

Well, there's just so many problems, all of the same type, Cryptorithms !

A similar problem,

A similar problem

All have the same method, with a little bit of variation... Posting this, if somebody wants to solve problems of just 1 type, together!

Aditya Raut - 5 years, 10 months ago

Wassup Aditya

Aditya Niloi - 4 years, 11 months ago

My first attempt at cryptarithm problems!

Noel Lo - 5 years, 5 months ago

Is there any reason why the answer cannot be 42? I have 5849+0638=06487 and I'm pretty sure that checks out

Lukas Isaacson - 4 years, 11 months ago

I don't think 2 different letters can be the same #

Jonathan Hargrove - 4 years, 11 months ago

what number is repeating?

David Nease - 4 years, 9 months ago

I found the rules from http://www.cryptarithms.com

Each letter represents a unique digit.
Numbers must not start with a zero.
The solution is unique (unless otherwise stated).

So your solution does not obey the second rule. I had the exact same problem with the Send + More = Money.

Author, please add the rules to this post.

Jesse Sivonen - 3 years, 9 months ago

Base10?

Mindblow Mindblow - 2 years, 8 months ago

Unless otherwise stated

Adrian Self - 2 years, 5 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$