What Digit Does Each Letter Represent?

This is what you know:

1. Each letter represents a different digit from 1 to 9
2. The total of each row is 17.
3. (B × B) + B + F = A
4. C × F = EF (a 2-digit number, not their product)

A B C
D E F

What digit does each letter represent?

A = 7
B = 1
C = 9

D = 8
E = 4
F = 5

A + B + C = 17
D + E + F = 17
B2 + B + F = A
C × F = EF

To begin with, B has to be a 1 or 2 or else A wouldn’t be a single digit. Plug in B = 2, gives you 6 + F = A, meaning F and A can only be (1,7) or (3,9). To get 17, C would have to be 8 or 6, but those values don’t work for C × F = EF. So B must be 1.

2 + F = A means F and A can be (2,4), (3,5), (4,6), (5,7), (6,8) or (7,9). To get 17 on the top row, the only option that leaves C as a single digit is F = 5 and A = 7.

C × F = EF
9 × 5 = 45, so E = 4 and D = 8 to make the second row equal to 17.

Posted in Brain Teasers

Three Letter Word Completion

What three letter word can complete the below words?

B___
D___
M___ET
P___ING
SH___

Ark, which produces: bark, dark, market, parking, shark.

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A Vowel-less Proverb

FLND HSMN YRSN PRTD

This is a well known proverb that has had all of its vowels removed. In addition, the letters have been broken up into groups of four while maintaining their correct order.

What is the proverb?

A fool and his money are soon parted.

Posted in Brain Teasers

Come For a Ride

I go up, but at the same time go down,
Up toward the sky and down toward the ground,
I’m present tense and past tense too,
Come for a ride, just me and you.

What am I?

A see-saw.

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Coffee

What does this represent?

COF FEE

Coffee break. The word coffee is broken into two pieces.

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Hangs Others

What hangs others yet can unintentionally hang itself?

A jury.

Posted in Riddles

Presidents and Parents

How could the 22nd and the 24th U.S. Presidents have the same parents, but not be brothers?

The 22nd and 24th U.S. presidents were both the same person – Grover Cleveland.

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What are the Things?

In one day, 6 things.
In one week, 4 things.
In one month, 2 things.
In one year, 1 thing.

What are the things?

Odd numbers.

In a day, there are 6 odd hours: 1, 3, 5, 7, 9, 11 (ignoring 24-hour time).

In a week, there are 4 odd-numbered days: 1, 3, 5, 7

In a month, there are 2 odd weeks: 1, 3 (no month has 5 full weeks)

And in a year’s 12 months, there is 1 odd number: 1 (the 1 of 12).

I readily agree the year one is a stretch, but I didn’t write it :)

Posted in Riddles

Worn By Men For Privacy

I’m an argument of why my side should win,
And worn by men for privacy.
I don’t last long if I get under your skin,
And I rhyme with a kind of misery.

What am I?

Brief (or briefs). A legal brief is a short outline of the arguments in a court case, briefs are worn by men to cover their privates. Brief also means to not last long and brief rhymes with grief, a kind of misery.

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Laughter Between Breakfast And Tea

People speak through me, yet I do not make a sound.
People can sell me, yet I have many clones.
I can bring you laughter between breakfast and tea,
Yet I can also break your heart easily.
I cover the earth like trees of old,
Whose leaves can blind and yet enfold.

A book. Authors can speak to you through a book, yet the book makes no sound. Books are sold and have many duplicate copies. A book can bring the reader to tears and laughter, they span the globe and the leaves of a book (a single sheet in a book is called a leaf) can get you wrapped up in the story that you’re unaware of what’s going on around you.

Posted in Riddles