Nerdle #936 Answer
Monday, August 12, 2024
8*3+1=25
- Structure
- A*B+C=DE
- Type
- Mixed Multiplication and Addition
- Result
- 25
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: 8 is divisible by 2 and 4, 3 is prime, 1 is prime, and 25 is divisible by 5
- Digital roots: 8 → 8, 3 → 3, 1 → 1, 25 → 2+5 = 7
- Prime factorization: 8 = 2³, 3 = 3, 1 has no prime factors, 25 = 5²
Why the structure matters
This puzzle's shape is A*B+C=DE — a mixed multiplication 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 multiplication and addition, most of the search space is gone before you have spent a single guess.
The result, 25, factors as 5² — those factors are exactly the operations that could have produced it.
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