nerdle

Nerdle #1281 Answer

Wednesday, July 23, 2025

7+3*6=25
Structure
A+B*C=DE
Type
Mixed Addition and Multiplication
Result
25

How the clues would have read

  • Today's equation begins with a single-digit number.
  • This puzzle uses addition and multiplication operations.
  • The result is a 2-digit odd number.

The numbers behind it

  • Divisibility: 7 is prime, 3 is prime, 6 is divisible by 2 and 3, and 25 is divisible by 5
  • Digital roots: 7 → 7, 3 → 3, 6 → 6, 25 → 2+5 = 7
  • Prime factorization: 7 = 7, 3 = 3, 6 = 2×3, 25 = 5²

Why the structure matters

This puzzle's shape is A+B*C=DE — a mixed addition and multiplication, 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 multiplication, most of the search space is gone before you have spent a single guess.

The result, 25, factors as 5² — those factors are exactly the operations that could have produced it.

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