Logic Equations (Puzzleship)

About Logic Equations (Puzzleship)

The arithmetic is never hard on its own; the difficulty is that the lines constrain each other. A value that fits one equation can be ruled out by an inequality further down. Unlike a classic cryptarithm with one sum, such as SEND plus MORE equals MONEY, these spread the letters over several lines that you cross-check.

Inequalities are often more useful early than equations, because an ordering between two letters survives every later step. The largest and smallest numbers in the pool can only go to letters at the ends of that order. Puzzleship also sells printable booklets of these puzzles.

Puzzleship publishes six sets of Logic Equations a day, graded from very easy to ultra hard. Each day's sets are numbered and dated, the same for every player, and appear at midnight in your own time zone; earlier days stay playable in the archive. The site is free with ads, and a premium plan removes them.

How to play Logic Equations (Puzzleship)

1. Open Logic Equations and pick one of the day's six sets.
2. Read all the equations and inequalities.
3. Assign a number from the pool to each letter, never repeating a value.
4. Use inequalities to order the letters and equations to fix values.
5. Finish when every line holds at once.

Tips

• Write down the order the inequalities give you.
• Place the largest and smallest numbers first.
• Solve a letter that appears in many lines early.
• Recheck every line after each assignment.

Questions