burger fun / Four Nines / Solver

Make 91 with four 9s

The classic four nines puzzle: build an expression from exactly four 9s that equals 91. 91 cannot be made with + - × ÷ alone (the solver checked every expression) — you will need to stick 9s together (like 99) or use decimals (like .9).

Solutions using only + - × ÷

No expression made of four plain 9s and + - × ÷ reaches 91 — the solver checked every possible expression.

Solutions with concatenation and decimals

  • 9 × 9 + 9 / .9 = 91
  • (.9 + 9 × 9) / .9 = 91

Solutions with square roots, factorials, exponents

  • (99 + sqrt(9)!!) / 9 = 91

3 distinct solutions found in total, after removing trivial rearrangements.

How 91 compares

91 has 3 distinct solutions across all three tiers — #8 scarcest of all 100 targets. Next door, 90 has 185 solutions and 92 has 4 solutions.

If 91 went down easily, make 94 with four 9s — just one solution, the nearest step up in scarcity.

Make 90 with four 9s · Make 92 with four 9s

The Number Lab

Same idea, different constraints: four 9s, four 4s, or any four digits you like.

Got what you came for?

Stay for something you did not search for.

  • Four Nines — the daily puzzle: four 9s, one target, new at midnight
  • The Reflex Lab — nine ways to measure your hands and memory, none of them polite about it
  • hand me something weird — a random pick from the directory. Could be the horse.

Play the daily Four Nines puzzle, pick another number in the solver, or find more free math games.