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Letter/Number Puzzles

Letter/Number Puzzles, a selection of answers from the Dr. Math archives.

Send More Money

Find the digit that each letter represents in the equation SEND + MORE = MONEY.

Solving SEND + MORE = MONEY

I have tried logical reasoning and can't get it.

Finding the Digits of SEND + MORE = MONEY

Representing and solving SEND + MORE = MONEY as a system of equations and inequalities.

Alphametric Problem

How do you solve a four-part alphametric where each letter represents a different digit?

Crypto-Number Puzzle

A Pascal program to find numerical values for the letters in: ONE + TWO + TWO + THREE + THREE = ELEVEN.

9 x HATBOX = 4 x BOXHAT

What is the solution to the cryptogram: 9 x HATBOX = 4 x BOXHAT?

EVE/DID = .TALKTALKTALK...

In the equation EVE/DID = .TALKTALKTALK... each letter corresponds to a different number, and EVE/DID is in lowest terms. What does each letter stand for?

Words that Equal $1

Letters of the alphabet are given values: a = 1 cent, z = 26 cents.

Words Equal to a Dollar

I need one-dollar words: a = 1, b = 2, c = 3...z = 26. I would like a list of words that equal 100.

The Value of a Word

Think of a word that equals one dollar. The key is: a=.01, b=.02, c=.03, ....

Letter and Word Puzzle: Bag = 2 + 1 + 7 = 10

What words can I use to make 10?

4(ABCD) = DCBA

Find a four digit number such that 4(ABCD) = DCBA.

ABCDE/4 = EDCBA

Find a five-digit number that, when it is quartered, gives an answer which is its digits in reverse order.

ABCDC - BEAAC = BADAD

What do the letters stand for if D = 0?

DEFABC = 6(ABCDEF)

Let abcdef be a 6-digit integer such that defabc is 6 times the value of abcdef. Find the value of a+b+c+d+e+f.

Headscratch Letter Puzzle

Use the numbers 0 to 9 for each letter once: G*B=HA, D*E=E, I*C=C, H*A=DE, F*J=GJ.

Look-and-Say Sequence

I can't find the next six numbers: 1, 11, 21, 1211, 111221, ...

121, 111211, 311221 Puzzle (Look and Say Sequence)

121, 111211, 311221 - what's the next number?

8549176320 Puzzle

The following number is formed by a special pattern and is the only one of its kind: 8549176320. What is the pattern?

ZOTTFFSSE Puzzle

What comes next in this letter sequence: ZOTTFFSSE?