Nerdle #1280 Answer
Tuesday, July 22, 2025
6+7−3=10
- Structure
- A+B-C=DE
- Type
- Mixed Addition and Subtraction
- Result
- 10
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses addition and subtraction operations.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 6 is divisible by 2 and 3, 7 is prime, 3 is prime, and 10 is divisible by 2 and 5
- Digital roots: 6 → 6, 7 → 7, 3 → 3, 10 → 1+0 = 1
- Prime factorization: 6 = 2×3, 7 = 7, 3 = 3, 10 = 2×5
Why the structure matters
This puzzle's shape is A+B-C=DE — a mixed addition 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 addition and subtraction, most of the search space is gone before you have spent a single guess.
The result, 10, factors as 2×5 — those factors are exactly the operations that could have produced it.
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