nerdle

Nerdle #1135 Answer

Thursday, February 27, 2025

87−44=43
Structure
AB-CD=EF
Type
Double-Digit Subtraction
Result
43

How the clues would have read

  • Today's equation begins with a two-digit number in the 80s.
  • This puzzle uses subtraction only.
  • The result is a 2-digit odd number.

The numbers behind it

  • Divisibility: 87 is divisible by 3 and 29, 44 is divisible by 2, 4, 11, and 22, and 43 is prime
  • Digital roots: 87 → 8+7 = 15 → 6, 44 → 4+4 = 8, 43 → 4+3 = 7
  • Prime factorization: 87 = 3×29, 44 = 2²×11, 43 = 43

Why the structure matters

This puzzle's shape is AB-CD=EF — a double-digit subtraction, 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 subtraction, most of the search space is gone before you have spent a single guess.

The result, 43, is prime — so it cannot be reached by multiplying two smaller whole numbers, which rules out a whole family of candidate equations immediately.

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