Concept:
This is a number-coding puzzle where the digits of the given numbers are subjected to specific arithmetic operations to arrive at the resultant value.
Step 1: Analyzing the pattern in 841=3.
Sum of digits: $8 + 4 + 1 = 13$. Subtract 10: $13 - 10 = 3$.
Alternatively, try $(8 + 1) - 4 = 5$ (Does not match).
Let's try: $(8 / 4) + 1 = 3$. This works.
Step 2: Testing the pattern on 633=5 and 425=7.
Apply $(First / Second) + Third$:
- For 633: $(6 / 3) + 3 = 2 + 3 = 5$. (Matches)
- For 425: $(4 / 2) + 5 = 2 + 5 = 7$. (Matches)
Step 3: Applying the logic to 217.
Following the established pattern $(First / Second) + Third$:
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(2 / 1) + 7 = 2 + 7 = 9
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(2 + 7) - 1 = 9
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9
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