using digits from 0 to 9 solve the following puzzle where each letter stands for different digits.
SEND
+MORE
------------
MONEY
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Answers
SOLUTION -
letter M cannot be zero at it is first (left most) digit of the sum.
Also , M cannot be greater than 1, as it is carry over number.
• M = 1
Substituting the value of M in the given puzzle , we have
S E N D
+ 1 O R E
1 O N E Y
In thousands column, S can taken value from 0 to 9.
Also, S + 1 is a two - digit number and 1 gets carried over.
• S cannot be less than 9.
• S + 1 = 9 + 1 = 10
Thus, letter O = 0 and 1 gets carried over
Now puzzle reduces to
9 E N D
+ 1 O R E
1 0 N E Y
By guess let us put E = 5 ( you may try other numbers)
Now the puzzle becomes
9 5 N D
+ 1 O R E
1 0 N E Y
Study the addition in hundreds coloumn.
5 + 0 = 5 ≠ N
• N = 5 + 1 (carried over from the tens column)
• N = 6
Now the given puzzle reduces to
9 5 6 D
+ 1 O R E
1 0 6 5 Y
By studying the addition in tens coloumn, we have
6 + R = 15
➾ R = 9 , which is not possible because already we have S = 9
• R = 8 and 1 is to be carried over from once column
The puzzle now reduces to
9 5 6 D
+ 1 O 8 5
1 0 6 5 Y
D can either be 2, 3, 4 or 7 ( as the other digits 1 , 5 , 6 , 8 and 9 have already been used)
In order to get 1 carried over, D has to be only 7.
Then, D + 5 = 7 + 5 = 12
Thus, Y = 2 and 1 gets carried over.
Hence the solution is
9 5 6 7
+ 1 0 8 5
1 0 6 5 2
Note - see the pic for better understanding
Answer: