Alphametics and Cryptarithms

Algebra Puzzles

Alphametic puzzles (also called cryptarithms) are arithmetic problems which involve words where each letter stands for unique digit that makes the arithmetic equation true. For instance, this is one of the famous equations. Can you solve it?

 SEND
 MORE
-----
MONEY

Another example of alphametic puzzles (cryptarithms) goes as follows:

ALFA + BETA + GAMA = DELTA
 

In the following algebra puzzles, replace the same characters by the same numerals so that the mathematical operations are correct.

ABCB - DEFC = GAFB
   :      +      -
  DH x   AB =  IEI
-------------------
 GGE + DEBB = DHDG

The same rules apply in this algebra puzzle as well - each letter stands for a unique digit.

IFIB - EBG = CEH
   -     -     +
 CCE /  GD =  FE
-----------------
 EFF + EED = CBA

Can you find digits that make equations true in the following alphametic puzzles (cryptarithms)?

RE + MI = FA
DO + SI = MI
LA + SI = SOL
  SINUS
  SINUS
KOSINUS
-------
TANGENS
DVA * DVA = STYRI
D + V + A + D + V + A = S + T + Y + R + I 

There are many more algebra puzzles below. Note that answer is always visible once you click the "Display Answer" button. Happy puzzling!

THC = (T + H + C) x T x H x C

Let me conclude with the following easy algebra puzzle. Or is it hard?

(J+O+I+N+T)3 = JOINT
 

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