Nerdle #245 Answer
Wednesday, September 21, 2022
9*2−2=16
- Structure
- A*B-C=DE
- Type
- Mixed Multiplication and Subtraction
- Result
- 16
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses multiplication and subtraction operations.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 9 is divisible by 3, 2 is prime, 2 is prime, and 16 is divisible by 2, 4, and 8
- Digital roots: 9 → 9, 2 → 2, 2 → 2, 16 → 1+6 = 7
- Prime factorization: 9 = 3², 2 = 2, 2 = 2, 16 = 2⁴
Why the structure matters
This puzzle's shape is A*B-C=DE — a mixed multiplication and subtraction, 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 subtraction, most of the search space is gone before you have spent a single guess.
The result, 16, factors as 2⁴ — those factors are exactly the operations that could have produced it.
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