Nerdle #887 Answer
Monday, June 24, 2024
12−3−6=3
- Structure
- AB-C-D=E
- Type
- Mixed-Length Subtraction
- Result
- 3
How the clues would have read
- Today's equation begins with a two-digit number in the 10s.
- This puzzle uses subtraction only.
- The result is a single-digit odd number.
The numbers behind it
- Divisibility: 12 is divisible by 2, 3, 4, and 6, 3 is prime, 6 is divisible by 2 and 3, and 3 is prime
- Digital roots: 12 → 1+2 = 3, 3 → 3, 6 → 6, 3 → 3
- Prime factorization: 12 = 2²×3, 3 = 3, 6 = 2×3, 3 = 3
Why the structure matters
This puzzle's shape is AB-C-D=E — a mixed-length subtraction, where each letter stands for one digit. Recognising the shape before the arithmetic is what separates a three-guess solve from a six-guess struggle: once you know the equation is a mixed-length subtraction, most of the search space is gone before you have spent a single guess.
The result, 3, is prime — so it cannot be reached by multiplying two smaller whole numbers, which rules out a whole family of candidate equations immediately.
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