Nerdle #899 Answer
Saturday, July 6, 2024
38−13=25
- Structure
- AB-CD=EF
- Type
- Double-Digit Subtraction
- Result
- 25
How the clues would have read
- Today's equation begins with a two-digit number in the 30s.
- This puzzle uses subtraction only.
- The result is a 2-digit odd number.
The numbers behind it
- Divisibility: 38 is divisible by 2 and 19, 13 is prime, and 25 is divisible by 5
- Digital roots: 38 → 3+8 = 11 → 2, 13 → 1+3 = 4, 25 → 2+5 = 7
- Prime factorization: 38 = 2×19, 13 = 13, 25 = 5²
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, 25, factors as 5² — those factors are exactly the operations that could have produced it.
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