The Age of Three Daughters

I was visiting a friend one evening and remembered that he had three daughters. I asked him how old they were. “The product of their ages is 72,” he answered. Quizzically, I asked, “Is there anything else you can tell me?” “Yes,” he replied, “the sum of their ages is equal to the number of my house.” I stepped outside to see what the house number was. Upon returning inside, I said to my host, “I’m sorry, but I still can’t figure out their ages.” He responded apologetically, “I’m sorry, I forgot to mention that my oldest daughter likes strawberry shortcake.” With this information, I was able to determine all three of their ages. How old is each daughter?

3, 3, and 8. The only groups of 3 factors of 72 to have non-unique sums are “2 6 6” and “3 3 8” (with a sum of 14). The rest have unique sums:

2 + 2 + 18 = 22
2 + 3 + 12 = 18
2 + 4 + 9 = 15
3 + 4 + 6 = 13

The house number alone would have identified any of these groups. Since more information was required, we know the sum left the answer unknown. The presence of a single oldest child eliminates “2 6 6”, leaving “3 3 8” as the only possible answer.

Posted in Brain Teasers

Wench and Warrior

Round and round and round it goes,
The source but not the birth of clothes,
Wench and warrior, child and crone,
Without it dressed near barer bone.

A spinning wheel. It goes around in circles and makes the thread that is used in clothing and anyone who isn’t wearing clothes would be barer boned.

Posted in Riddles

Cannot Keep Until Given

You cannot keep me until you have given me. What am I?

Your word.

Posted in Riddles
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Walks on Graves at Night

This walks on graves at night yet in homes during the day,
Men are scared of it, women like it, children play with it,
It lives on dates and salt,
It is covered in hair,
Its name starts with ‘M’ and it is mentioned in the Quran.

What is it?

Moths.
Most species of moths are nocturnal, yet they are attracted to light and can be found in homes. Men, in the most generic sense, can be scared of moths (see Mottephobia) as well as the damage they can cause as pests to bee hives, grain, flour, trees and agriculture. Women like moths because of the silk they produce. Children frequently chase and play with moths. Moths are attracted to salt and love to eat rotting fruit (such as dates). Some species of moths are densely covered with tiny hairs and of course it starts with the letter ‘m’. Lastly, moths are mentioned in the Quran (101:4 (Asad) [It will occur] on the Day when men will be like moths swarming in confusion)

Posted in Riddles

One Hundred With Six Identical Digits

How can you express the number 100 using the same digit six times?

99 + 99/99 = 100

Posted in Brain Teasers

Rhonda At the Ballet

Rhonda will go see ballet but not the opera. Her favorite number is eight and she doesn’t like nine. She likes salmon but not trout. She hates Mondays and likes Wednesdays. Does she use a comb or a brush?

A comb. Rhonda likes words with silent letters, like her name.

Posted in Brain Teasers

Two Hours Ago

If two hours ago it was as long after one o’clock in the afternoon as it was before one o’clock in the morning, what time is it right now?

9pm (or 21:00). There are 12 hours between 1pm and 1am, so 6 hours after 1am is halfway. 6 hours + 1pm equals 7pm. In order for 7pm to be 2 hours behind the current time, it must be 9pm.

Posted in Brain Teasers

Can Only Be Given, Not Taken Or Bought

It may only be given,
Not taken or bought,
What the sinner desires,
But the saint does not.

Forgiveness.

Posted in Riddles

Longest Word Without Repeating Letters

What is the longest word without any repeated letters?

Uncopyrightable, with 15 letters and not a single one repeated. Dermatoglyphics, the study of fingerprints, works too.

Posted in Brain Teasers

You’re Halfway There

You’re standing 11 feet away from a doorway and with each step you move halfway to the doorway. How many steps will it take for you to get to the doorway?

Technically, the answer is infinity. If you keep going halfway, you’ll never actually make it to the doorway.

But in practice, after 10 steps you’ll be 1/8th of an inch to the doorway and anyone behind you would say to stop being a baby and take a real step through the doorway already.

Posted in Brain Teasers