Nerdle #1028 Answer
Tuesday, November 12, 2024
1+7*6=43
- Structure
- A+B*C=DE
- Type
- Mixed Addition and Multiplication
- Result
- 43
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses addition and multiplication operations.
- The result is a 2-digit odd number.
The numbers behind it
- Divisibility: 1 is prime, 7 is prime, 6 is divisible by 2 and 3, and 43 is prime
- Digital roots: 1 → 1, 7 → 7, 6 → 6, 43 → 4+3 = 7
- Prime factorization: 1 has no prime factors, 7 = 7, 6 = 2×3, 43 = 43
Why the structure matters
This puzzle's shape is A+B*C=DE — a mixed addition 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 addition and multiplication, most of the search space is gone before you have spent a single guess.
The result, 43, 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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