description SEND+MORE=MONEY Overview
SEND + MORE = MONEY is a classic cryptarithmetic mathematical puzzle created by Henry Dudeney, first published in the July 1924 issue of The Strand Magazine. In this verbal arithmetic problem, each distinct letter represents a unique digit from 0 to 9. Solvers must deduce the correct numerical values so that the column addition works out mathematically. It is widely used in computer science education and recreational mathematics to demonstrate constraint satisfaction problems and backtracking algorithms.
insights Ranking position
SEND+MORE=MONEY ranks #31 of 93 in the Logic Puzzle ranking, behind Skyscrapers, ahead of The Hardest Logic Puzzle Ever.
help SEND+MORE=MONEY FAQ
Who created the SEND + MORE = MONEY puzzle?
The puzzle was created by English puzzlist Henry Ernest Dudeney and first published in the July 1924 issue of The Strand Magazine. Dudeney was one of Britain's foremost recreational mathematicians and a contemporary rival of American puzzle author Sam Loyd.
What is the solution to SEND + MORE = MONEY?
The solution is S=9, E=5, N=6, D=7, M=1, O=0, R=8, Y=2, yielding 9567 + 1085 = 10652. This is the unique solution to the classic version of the puzzle.
What type of puzzle is SEND + MORE = MONEY?
It is a cryptarithmetic puzzle, also known as an alphametic, in which each distinct letter represents a unique digit from 0 to 9. The goal is to find the digit assignment that makes the arithmetic equation valid, with no two letters sharing the same digit.
Why must M equal 1 in SEND + MORE = MONEY?
Since SEND and MORE are both four-digit numbers, their maximum possible sum is 9999 + 9999 = 19998, meaning the result MONEY must be a five-digit number starting with 1. Therefore M, the leading digit of MONEY, must equal 1, and O must equal 0 due to the carry.
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