## 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

B^{2} + 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.

## Samuel the Secretive Scotsman

Fill in the blanks with four, four-letter words that all share the same first three letters.

Samuel the secretive Scotsman was dressed to ____ in his twill woven ____. Little did they know he had a ____ of marijuana stashed away as he innocently warmed his hands by the Scotch ____.

kill

kilt

kilo

kiln

Samuel the secretive Scotsman was dressed to kill in his twill woven kilt. Little did they know he had a kilo of marijuana stashed away as he innocently warmed his hands by the Scotch kiln.

## Messy Math

What is the answer to this problem?

48 / 2 × (9 + 3) = ?

It depends. Usually, math has one right answer, but in this case, the order of operations can get a little quirky.

There are two ways to solve this. First, like so:

48 / 2 × (9 + 3) = ?

48 / 2 × (12) = ?

24 × 12 = 288

But another, arguably valid way is:

48 / 2 × (9 + 3) = ?

48 / 2 × (12) = ?

48 / 24 = 2

Thanks to KnowYourMeme for providing a great overview on this one.

## A Seemingly Simple Math Problem

What is the answer to this problem?

1 + 1 + 1 + 1 + 1

1 + 1 + 1 + 1 + 1

1 + 1 × 0 + 1 = ?

30.

There are two tricks to this one. The first is 1 × 0. But it’s mostly there as a distraction. Yes, 1 × 0 is 0, but that doesn’t affect anything else in the equation. The second, far trickier element is that the lines ending with 1 don’t have a + sign next to them. That means they should be combined with the following line.

Let’s put the equation all on one line, shall we?

1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 11 + 1 × 0 + 1 = ?

And the answer to that equation is 30.

## Pronounced As One Letter, Written With Three

Pronounced as one letter,

And written with three,

Two letters there are,

And two only in me.

I’m double, I’m single,

I’m black, blue, and gray,

I’m read from both ends,

And the same either way.

What am I?

Eye. It’s pronounced like the letter ‘i’, but written with three letters. There are only two letters used (‘e’ and ‘y’). The eye is double with two ‘e’s and represents a single eye. The eye is made up of various colors, some of which are black, blue and gray. And lastly, the eye is a palindrome, spelled the same forward and backward.

## What Letter Comes Next MAMJJASO

What letter comes next in this sequence?

M, A, M, J, J, A, S, O, ____

N. The letter represent the first letters of the months of the year, starting with March. N is for November, and of course D would be the next one.

## Same Three Digits with Sum of 800

When Florence and Willie finished playing darts, they proudly announced that their 3-digit scores added up to exactly 800 points. Furthermore, each of their scores shared the same 3 digits, without any repeating digits.

What were their two scores?

364 and 436.

You could figure this out mathematically, but instead, I plugged in digits that added up to 10 for the first column, 9 for the second column (since you carry the 1) and 7 for the third column (again, because you’re carrying the 1).

## From Diner to Menus

How can you go from DINER to MENUS, changing one letter at a time and forming another English word in each step?

DINER

MINER

MINES

MINUS

MENUS

Another option is:

DINER

DINES

MINES

MINUS

MENUS

## What is the Five Digit Number?

What 5-digit number satisfies the following requirements?

1. No zeroes

2. First two digits are the same

3. Fourth digit is twice the first

4. Last digit is twice the third

5. Sum of all digits is 18

33264.

There are several ways of solving this. One way is to represent each spot with a letter, A – E.

Then you have these equations:

A = B

D = 2 * A

E = 2 * C

A + B + C + D + E = 18

By simplifying, you get:

4 * A + 3 * C = 18

Plug in values for A and C to find that A = 3 C = 2.

## Fill in the Blank and Discover the Event

Fill in the missing words to make a phrase with both the left and right hand sides. For instance, if you were given GRAPE __________ FLY, the missing word could be FRUIT, making GRAPEFRUIT and FRUIT FLY.

1. TOP __________ AGENT

2. PROXY __________ OF NO CONFIDENCE

3. SECOND-HAND __________ DETECTOR

4. THE SACK OF __________ APPLE

5. ST. LOUIS __________ SIN

Once you have the words, what event does it represent?

1. SECRET

2. VOTE

3. SMOKE

4. ROME

5. CARDINAL

The event is a Papal conclave, when a new Pope is chosen.