# Cryptarithms

A cryptarithm is a puzzle where numbers are substituted for letters to correctly complete an arithmetic equation. These types of puzzles originated thousands of years ago in China. Your challenge is to determine the numbers that can correctly be substituted for the letters. The same number must be substituted for the same letter throughout the equation. Some people find trial and error the best method to hone in on a solution. (Answers for this section begin on page 313.)

**Example:**

(Hint: **F** must be “1” since that is the only number that can be carried from the previous column.)

There are seven possible solutions:

938+938=1,876

928+928=1,856

836+836=1,672

765+765=1,530

846+846=1,692

734+734=1,468

867+867=1,734

There are twenty possible solutions.

There are six possible solutions.

There are sixteen possible solutions.

There are sixteen possible solutions.

There are seven possible solutions.

There are eighteen possible solutions.

There are two possible solutions.

There are fifteen possible solutions.

There are ten possible solutions.

There are fourteen possible solutions.