Question

SATURN
+ URANUS
= PLANETS
are called cryptorithms or alphabetical coding. Where an alphabet is assigned a code so that the problem is to be solved using given summation. Write a program to solve such questions, which prints the letter and its corresponding digits that satisfy the given addition.​

Answer 1

Answer:

 8 7 3 4 9 0

 4 9 7 0 4 8

1 3 7 0 5 3 8

Explanation:

SATURN

+ URANUS

= PLANETS

N + S = S => N = 0

U + N = E  => U + 0 = E => there must be a carry

=> U + 1 = E

A + R = A  => There must be a carry

=> A + R + 1 = 10 +A

=> R = 9

P is Carried => P = 1

R + U = T

=> 9 + U = T

=> 9 + U = 10 + T

=> U = T + 1

S + U + 1 = 10 + L

Using all above data and a bit of hit & Trial we can get

S = 8  A = 7  T = 3  U=4  R = 9  N = 0

U = 4  R = 9  A = 7  N = 0 U = 4  S = 8

P = 1    L= 3   A=7   N = 0 E = 5  T = 3  S = 8

 8 7 3 4 9 0

 4 9 7 0 4 8

1 3 7 0 5 3 8