6
$\begingroup$

Some puzzles goes as follows: Solve AB×B×A=BBB, where different letters denote different numbers and A and B are not zero.

What is the name for these types of puzzles?

Edit. I fixed my mistake in the puzzle, now it has solution.

$\endgroup$
  • 2
    $\begingroup$ Incidentally, that particular puzzle has no solution. $\endgroup$ – dan04 Nov 24 '19 at 20:19
  • 1
    $\begingroup$ @dan04, thank you for comment, i have fixed the puzzle. $\endgroup$ – Nick Nov 24 '19 at 23:49
11
$\begingroup$

This is a type of puzzle called a "cryptarithm" or an "alphametic". We have many examples of this type of puzzle under the tag.

| improve this answer | |
$\endgroup$
4
$\begingroup$

(And for completeness, the answer)

A=3, B=7. This is because BBB is divisible by 111, so we must have either 37 or 74 in any factorisation of BBB (37 is prime) into 1 or 2 digit numbers. Trying both, only AB=37 works.

| improve this answer | |
$\endgroup$
  • 3
    $\begingroup$ The solution can be even simpler - first divide by B (since it's nonzero) to get AB*A=111, and the only factorisation of 111 is 37*3. $\endgroup$ – trolley813 Nov 25 '19 at 8:56

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.