# From Poor to Rich: A Word Ladder Puzzle

It’s easy for a rich man to become poor, but not the other way around. Transposing POOR to RICH in a game of word ladder isn’t as simple as well as you need ten steps to accomplish that. Can you figure out the steps? (Hint: One of the words is a contraction.)

(Note: In a game of word ladder, your goal is to transpose a word to another word by changing the initial word’s single letter to form another word. Do the process until it becomes the target word. For example, COLD to WARM: COLD → CORD → CARD → WARD → WARM.)

Solution

POOR → POOL → FOOL → FOOT → FONT → DON’T → DINT → DINE → DICE → RICE → RICH.

I felt that there are shorter solutions but I couldn’t find them. So, I cheated and used a computer.

As it turned out, there are a large number of solutions. The shortest solution that Mathematica found was five steps:

POOR → POOK → ROOK → ROCK → RICK → RICH.

Have you found other solutions?

### Posted by Edmark M. Law

My name Edmark M. Law. I work as a freelance writer, mainly writing about science and mathematics. I am an ardent hobbyist. I like to read, solve puzzles, play chess, make origami and play basketball. In addition, I dabble in magic, particularly card magic and other sleight-of-hand type magic. I live in Hong Kong. You can find me on Twitter` and Facebook. My email is edmarklaw@learnfunfacts.com

## 7 thoughts on “From Poor to Rich: A Word Ladder Puzzle”

POOR – POOH – POSH – PISH – WISH – WICH – RICH

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2. One of those shorter solutions changes two letters.
Here is my version
Poor
Poof
Roof
Root
Riot
Rift
Rife
Rice
Rich
This avoids the use of the contraction don’t.
Love these. Thanks for the challenge

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