A Dollar For Your Thoughts? It’s the Hundred Dollar Puzzle!

[Image courtesy of ColourBox.com.]

That’s right, fellow puzzlers and PuzzleNationers! It’s that time again when we pit our puzzly minds against a fiendish brain teaser and test our mental mettle!

You might’ve seen this brain teaser making the rounds on social media. It’s known as the hundred dollar puzzle, and unlike most brain teasers, this one is less about the puzzle and more about how we got to the solution.

Intrigued? You’re not the only one. Let’s take a look at the brain teaser:

A young man sees a shirt for $97. He borrows $50 from mom and $50 from dad. He buys the shirt and is left with $3 change.

He gives $1 to mom, $1 to dad, and keeps $1 for himself. Now he owes his mom $49 and his dad $49.

$49 + $49 = $98 + his remaining $1 = $99. Where did the other $1 go?

[Image courtesy of CollecTons.]

People love brain teasers like this, because at first glance, and even at second glance, the math SEEMS to hold up.

But the real trick to this one is that it’s asking the wrong question. The other dollar didn’t go anywhere.

The problem here is… as soon as he pays his parents back, it’s no longer about one hundred dollars. It’s about ninety-eight dollars.

Let’s look at total borrowings versus borrowings after paying back his parents. The original specs were:

What he owed: $100
What he had: $3 and a $97 dollar shirt.

But the goalposts changed when he paid his parents back a dollar each. (And if he plans to pay the loan off a dollar at a time, it’s going to take FOREVER for them to get their money back.)

What he now owes: $98
What he has: $1 and a $97 dollar shirt.

The math adds up. Your total borrowings go from $100 to $98 dollars, and you spent $97 dollars and put the extra dollar in your pocket.

So the final equation in the brain teaser is flawed. It’s not $49 + $49 = $98 + his remaining $1 = $99. It’s $49 + $49 = $98 = his remaining $1 and his fancy shirt $97.

[Image courtesy of Ali Express.com.]

Sometimes, brain teasers aren’t about crunching numbers, but finding the logical flaw in the puzzle itself.

We hope you enjoyed unraveling the hundred dollar puzzle, and if you have any brain teasers, riddles, or other puzzly suggestions for mental challenges to conquer, let us know in the comment section below! We’d love to hear from you!


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