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

A Group of Three

I give you a group of three. One is sitting down, and will never get up. The second eats as much as is given to him, yet is always hungry. The third goes away and never returns.

Stove, fire, smoke.

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Sum of Consecutives

What is the sum of the numbers in the following list which are consecutive?

15  5 10 28
24  7 18 26
11 21 17 13
22  9  1 20

The consecutive numbers are: 9, 10, 11; 17, 18; and 20, 21, 22.

The sum of those numbers is 128.

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A House With No Doors

I am in a house with no doors. There are people inside but give no reply. Who am I?

A fish. A fish bowl or aquarium is the fish’s house and the people inside are the decorative divers that offer no reply (one might ask how the fish knows, given that they aren’t a talkative bunch themselves).

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Pronounced Right or Wrong

What word when pronounced wrong is right but when pronounced right is wrong?

The answer is the word “wrong”. When it’s pronounced “wrong” (rhyming with song) that’s the correct pronunciation. However, if you were to pronounce the word as “right” (rhyming with night) that would be an incorrect pronunciation and be wrong.

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A Game of Cards

In a game of cards, GEORGE partnered with MARY, while TED had to choose a partner. He could have chosen ANN, EDNA, JOAN or ANGELA. Whom did he choose and why?

ANN. If you give each letter a number according to its position in the alphabet:
TED = 20 + 5 + 4 = 29
ANN = 1 + 14 + 14 = 29

(George and Mary each add to 57)

Posted in Brain Teasers

Cut One Off And I Become Stronger

I have three letters. Cut one off and I become stronger. Cut two off and I become ten. What am I?

A fox. Removing the f leaves ox, a strong animal. Cutting off the fo leaves X, the roman numeral for 10.

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What Runs Around the Yard

What runs around the yard without moving?

A fence.

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Bought By the Yard

I am bought by the yard but worn by the foot. What am I?

Carpet. Worn is used in the sense of a well-worn item.

(found on r/riddles)

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Everyone Has It

Everyone has it.
Those who have it least don’t know that they have it.
Those who have it most wish they had less of it,
but not too little or none at all.

Age. Young children don’t even know their age and extremely old folks wish they could turn back the hands of time, but not so much that they’re too young or they no longer have an age at all.

By Sef Daystrom

Posted in Riddles