Nerdle #504 Answer
Wednesday, June 7, 2023
24/8+3=6
- Structure
- AB/C+D=E
- Type
- Mixed Division and Addition
- Result
- 6
How the clues would have read
- Today's equation begins with a two-digit number in the 20s.
- This puzzle uses addition and division operations.
- The result is a single-digit even number.
The numbers behind it
- Divisibility: 24 is divisible by 2, 3, 4, 6, 8, and 12, 8 is divisible by 2 and 4, 3 is prime, and 6 is divisible by 2 and 3
- Digital roots: 24 → 2+4 = 6, 8 → 8, 3 → 3, 6 → 6
- Prime factorization: 24 = 2³×3, 8 = 2³, 3 = 3, 6 = 2×3
Why the structure matters
This puzzle's shape is AB/C+D=E — a mixed division and addition, 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 division and addition, most of the search space is gone before you have spent a single guess.
The result, 6, factors as 2×3 — those factors are exactly the operations that could have produced it.
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