Nerdle #1210 Answer
Tuesday, May 13, 2025
24+52=76
- Structure
- AB+CD=EF
- Type
- Double-Digit Addition
- Result
- 76
How the clues would have read
- Today's equation begins with a two-digit number in the 20s.
- This puzzle uses addition only.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 24 is divisible by 2, 3, 4, 6, 8, and 12, 52 is divisible by 2, 4, 13, and 26, and 76 is divisible by 2, 4, 19, and 38
- Digital roots: 24 → 2+4 = 6, 52 → 5+2 = 7, 76 → 7+6 = 13 → 4
- Prime factorization: 24 = 2³×3, 52 = 2²×13, 76 = 2²×19
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, 76, factors as 2²×19 — those factors are exactly the operations that could have produced it.
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