nerdle

Nerdle #1409 Answer

Friday, November 28, 2025

7−11+5=1
Structure
A-BC+D=E
Type
Mixed Subtraction and Addition
Result
1

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 single-digit odd number.

The numbers behind it

  • Divisibility: 7 is prime, 11 is prime, 5 is prime, and 1 is prime
  • Digital roots: 7 → 7, 11 → 1+1 = 2, 5 → 5, 1 → 1
  • Prime factorization: 7 = 7, 11 = 11, 5 = 5, 1 has no prime factors

Why the structure matters

This puzzle's shape is A-BC+D=E — a mixed subtraction and 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 mixed subtraction and addition, most of the search space is gone before you have spent a single guess.

The result, 1, factors as 1 — those factors are exactly the operations that could have produced it.

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