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Curifold Puzzle School · FREE PRACTICE SHEET

Work backwards from a clue

Reverse a sequence of operations and check the answer forwards.

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Your puzzle

A fictional number machine starts with a whole number from 1 to 10. It doubles the number, then adds 3. The display shows 17. Find the starting number by undoing the steps.

  1. The starting number is a whole number from 1 to 10.
  2. Double it, then add 3.
  3. The result is 17.
Working backwards
StageActionValue
DisplayKnown output17
Undo additionSubtract 3Your answer
Undo doublingDivide by 2Your answer

Record the original operations

Undo the last operation first

Write each intermediate value

Check the allowed input range

Run my answer forwards

andrew-stinson.com/learn/puzzle-school/work-backwards-from-a-clue/ · 2026-10-06