Nerdle #992 Answer
Monday, October 7, 2024
10−8*1=2
- Structure
- AB-C*D=E
- Type
- Mixed Subtraction and Multiplication
- Result
- 2
How the clues would have read
- Today's equation begins with a two-digit number in the 10s.
- This puzzle uses multiplication and subtraction operations.
- The result is a single-digit even number.
The numbers behind it
- Divisibility: 10 is divisible by 2 and 5, 8 is divisible by 2 and 4, 1 is prime, and 2 is prime
- Digital roots: 10 → 1+0 = 1, 8 → 8, 1 → 1, 2 → 2
- Prime factorization: 10 = 2×5, 8 = 2³, 1 has no prime factors, 2 = 2
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, 2, 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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