Nerdle #950 Answer
Monday, August 26, 2024
13+35=48
- Structure
- AB+CD=EF
- Type
- Double-Digit Addition
- Result
- 48
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: 13 is prime, 35 is divisible by 5 and 7, and 48 is divisible by 2, 3, 4, 6, 8, 12, 16, and 24
- Digital roots: 13 → 1+3 = 4, 35 → 3+5 = 8, 48 → 4+8 = 12 → 3
- Prime factorization: 13 = 13, 35 = 5×7, 48 = 2⁴×3
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, 48, factors as 2⁴×3 — those factors are exactly the operations that could have produced it.
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