Provide the answer for the following Cryptarithmetic problem: SEND +MORE MONEY"
Question
Cryptarithmetic Problem
SEND
+ MORE
-------
MONEY
Solution
To solve the cryptarithmetic problem , we assign unique digits to each letter such that the equation holds true. Let's break down the solution step by step.
Step 1: Break Down the Problem
We need to assign digits to the letters such that the equation is valid. Each letter represents a distinct digit (0-9), and and cannot be zero since they are leading digits.
Step 2: Relevant Concepts
We represent the words as:
Our equation becomes:
Step 3: Analysis and Detail
To find a solution, we need to ensure:
- Each letter corresponds to a unique digit.
- Leading digits and are not zero.
- We can apply trial and error or systematic checking for different values of and .
After testing combinations, the following assignment works:
So:
Step 4: Verify and Summarize
Now we verify the solution:
This equation is true, confirming the assignments of the letters.
Final Answer
Thus, the solution to the cryptarithmetic problem is:
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