Nerdle #984 Answer
Sunday, September 29, 2024
43−7*6=1
- Structure
- AB-C*D=E
- Type
- Mixed Subtraction and Multiplication
- Result
- 1
How the clues would have read
- Today's equation begins with a two-digit number in the 40s.
- This puzzle uses multiplication and subtraction operations.
- The result is a single-digit odd number.
The numbers behind it
- Divisibility: 43 is prime, 7 is prime, 6 is divisible by 2 and 3, and 1 is prime
- Digital roots: 43 → 4+3 = 7, 7 → 7, 6 → 6, 1 → 1
- Prime factorization: 43 = 43, 7 = 7, 6 = 2×3, 1 has no prime factors
Why the structure matters
This puzzle's shape is AB-C*D=E — a mixed subtraction and multiplication, 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 subtraction and multiplication, most of the search space is gone before you have spent a single guess.
The result, 1, factors as 1 — those factors are exactly the operations that could have produced it.
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