Nerdle #97 Answer
Tuesday, April 26, 2022
35−16=19
- Structure
- AB-CD=EF
- Type
- Double-Digit Subtraction
- Result
- 19
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: 35 is divisible by 5 and 7, 16 is divisible by 2, 4, and 8, and 19 is prime
- Digital roots: 35 → 3+5 = 8, 16 → 1+6 = 7, 19 → 1+9 = 10 → 1
- Prime factorization: 35 = 5×7, 16 = 2⁴, 19 = 19
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, 19, is prime — so it cannot be reached by multiplying two smaller whole numbers, which rules out a whole family of candidate equations immediately.
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