Nerdle #850 Answer
Saturday, May 18, 2024
15+11=26
- Structure
- AB+CD=EF
- Type
- Double-Digit Addition
- Result
- 26
How the clues would have read
- Today's equation begins with a two-digit number in the 10s.
- This puzzle uses addition only.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 15 is divisible by 3 and 5, 11 is prime, and 26 is divisible by 2 and 13
- Digital roots: 15 → 1+5 = 6, 11 → 1+1 = 2, 26 → 2+6 = 8
- Prime factorization: 15 = 3×5, 11 = 11, 26 = 2×13
Why the structure matters
This puzzle's shape is AB+CD=EF — a double-digit addition, 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 addition, most of the search space is gone before you have spent a single guess.
The result, 26, factors as 2×13 — those factors are exactly the operations that could have produced it.
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