Nerdle #453 Answer
Monday, April 17, 2023
64−42=22
- Structure
- AB-CD=EF
- Type
- Double-Digit Subtraction
- Result
- 22
How the clues would have read
- Today's equation begins with a two-digit number in the 60s.
- This puzzle uses subtraction only.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 64 is divisible by 2, 4, 8, 16, and 32, 42 is divisible by 2, 3, 6, 7, 14, and 21, and 22 is divisible by 2 and 11
- Digital roots: 64 → 6+4 = 10 → 1, 42 → 4+2 = 6, 22 → 2+2 = 4
- Prime factorization: 64 = 2⁶, 42 = 2×3×7, 22 = 2×11
Why the structure matters
This puzzle's shape is AB-CD=EF — a double-digit 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 double-digit subtraction, most of the search space is gone before you have spent a single guess.
The result, 22, factors as 2×11 — those factors are exactly the operations that could have produced it.
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