# Solutions to Our June Brain Teasers!

Two weeks ago, we shared a pair of brain teasers sent in by a PuzzleNationer who discovered these particular deduction and math thinkers in a book of riddles and puzzles.

Today, we’re going to share not only the solutions, but how we got there! Please enjoy this brief solve and tutorial, courtesy of brain teasers from your fellow PuzzleNationers!

[Image courtesy of SharpBrains.com.]

Brain Teaser #1: There is a three-digit number. All three digits are different. The second digit is four times as big as the third digit, while the first digit is three less than the second digit. What is the number?

Solution: 582

This is a fairly simple one, but if you’re unfamiliar with brain teasers, or uncomfortable in general with number puzzles, it can be off-putting. No worries, though! We’ve got you covered.

We know the second digit is four times as big as the third. That leaves only two options for those digits: 4 and 1 or 8 and 2.

If the first digit is three less than the second digit, it can’t be 4 and 1, because that would be 4 minus 1, or 1 for the first digit, and the first and third digits can’t be the same.

That means it’s 8 and 2 for the second and third digits. So if the first digit is three less than the second, the first digit is 5, and the three-digit number is 582.

Brain Teaser #2: When asked about his birthday, a man said, “The day before yesterday, I was only 25, and next year I will turn 28.” This is true only one day in a year – what day was he born?

Solution: He was born on December 31st and spoke about it on January 1st.

The wording in this one is especially important, because at first glance, this sounds impossible.

“Next year, I will turn 28.”

But if you look at the key word in what the man says — “turn” — the puzzle starts to unravel.

If next year, he will turn 28, this means that, at some point this year, he will turn 27. Which means he is currently 26.

Let’s look at what we know:

• Day before yesterday: 25
• Currently: 26
• This year (at some point): 27
• Next year: 28

Since he’ll be both 26 and 27 this year, the day before yesterday had to be last year.

Which means that yesterday was his birthday.

But at some point this year, he turns 27. That means both yesterday and the day before yesterday had to be last year.

Which leaves us with this timetable:

• December 30 (day before yesterday, last year): 25
• December 31 (yesterday, last year, his birthday): 26
• January 1 (today, this year): 26
• December 31 (later this year): 27
• December 31 (next year): 28

He was born on December 31st and spoke about it on January 1st.

Did you unravel one or both of these brain teasers? Let us know in the comments section below! We’d love to hear from you.

Hey, have you checked out our special summer deals yet? You can find them on the Home Screen for Daily POP Crosswords and Daily POP Word Search! Check them out!

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# Solutions to Last Week’s Detective Riddles!

Last week, we delved into a curious cousin of brain teaser family — detective riddles. These crime-fueled and investigation-filled little logic problems often cast you as the detective, the accused, or simply someone putting on their deerstalker hat and endeavoring to suss out the actual truth.

And we couldn’t resist putting your puzzle skills to the test with a few detective riddles. Did you unravel them easily or find yourself stumped?

Let’s find out, shall we?

#1

A Japanese ship was leaving the port and on its way to open sea. The captain went to oil some parts of the ship and took his ring off so it wouldn’t get damaged. He left it on the table next to his bunk. When he returned, it was missing. He suspected three crew members could be guilty and asked them what they had been doing for the ten minutes that he had been gone.

The cook said, “I was in the kitchen preparing tonight’s dinner.”

The engineer said, “I was working in the engine room making sure everything was running smoothly.”

The seaman said, “I was on the mast correcting the flag because someone had attached it upside down by mistake.”

The captain immediately knew who it was. How?

Answer: The seaman was to blame.

The key to this one is paying attention to the ship and the flag. A Japanese ship would be flying the Japanese flag, and it’s hard to believe a white field with a red circle in the center could be hung “upside down.”

#2

A chemist was murdered in his own lab. The only evidence was a piece of paper that had the names of chemical substances written on it. The substances were nickel, carbon, oxygen, lanthanum, and sulfur. The chemist only had four people come by his lab on the day of the murder: fellow scientist Claire, his nephew Nicolas, his wife, and his friend Marc.

The police arrested the murderer right away. How did they know who it was?

Answer: Nephew Nicolas was to blame.

If you know your elemental abbreviations, you probably noticed the correlation between what the chemist wrote down and one of the suspects. Ni + C + O + La + S spells the criminal’s name and points the finger at the criminal from beyond the grave.

#3

A man was found on the floor dead with a cassette recorder in one hand and a gun in the other. When the police arrived at the scene they pressed play on the recorder. It was the man’s voice. He said, “I have nothing else to live for. I can’t go on,” followed by the sound of a gunshot.

After listening, the police knew that this was a murder, not a suicide. How?