We haven’t done any recreational math for a while. As a change of pace, instead of the division problems we’ve done in the past, here’s a multiplication problem. The usual rules for this kind of cryptarithm apply:

- Each letter represents one of the digits 0-9.
- Different letters represent different digits.
- There are no leading zeros, so in the problem below we know right away that A, C, D, and
~~F~~G are not zero.

Unlike many examples of these, if you put the letters for 0-9 in order, it won’t spell anything.

A B C x D E F ---------- G H I C G E G B C G G C ------------- C D F J I C

Please ROT13 any solutions, so others can keep playing.

I believe you mean A, C, D, and G are nonzero.

GuyQuote Link

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I did, thanks.

Mike SchillingQuote Link

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And, in order of discovery, digits identified by their first three english letters:

O mre P svi N fvk Q ava R rvt T sbh S fri V gue U gjb W bar

GuyQuote Link

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Right you are.

Mike SchillingQuote Link

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That’s what I got too, gubhtu V svtherq gurz bhg va gur beqre PONTQRSUVW

Alan ScottQuote Link

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I got the same. Behold the power of Excel (lots of MOD and INT functions)! And one really lucky guess. I really have no method to this madness, just the starting clue around C.

ian351cQuote Link

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Wouldn’t it be funny if it spelled “something” rather than “anything,” ’cause, you know, Mike Schilling.

veronica dQuote Link

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Wrong number of letters :-)

Mike SchillingQuote Link

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This reminds me, I need to actually learn Prolog someday.

veronica dQuote Link

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Aff.

I got a system with plenty of equations on it. Now its just a time to substitute them all.

Btw, “F” is obvious from the very first moment.

WyrmnaxQuote Link

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How was F obvious to you? The other solvers (and I) didn’t get it until fairly late.

Mike SchillingQuote Link

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X x Y = ZX (To put a finer point on it, a number that ends in X)

X =/= 1

Is where I am currently.

JaybirdQuote Link

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Juvpu jbhyq znxr vg svir naq l jbhyq unir gb or bqq?

JaybirdQuote Link

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Be K vf rira naq L vf fvk.

Mike SchillingQuote Link

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OH YEAH, duh.

JaybirdQuote Link

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Still, it is trivial. It can only be one of two different numbers.

Btw. You should spell a number when you are pointing out it in a rot 13 text.

WyrmnaxQuote Link

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Or, i can be completely wrong. Wouldn’t be the first time.

Gur bayl jnl n zhygvcyvpngvba bs n ahzore pna erfhyg bs n ynfg qvtvg bs vgfrys ner gurfr:

1 – gur zhygvcyvpngbe vf bar

2 – gur zhygvcyvpngbe vf fvk

3 – Bar bs gubfr ahzoref vf svir naq gur bgure vf bqq.

Jr pna rkpyhqr 1 sebz gur trg tb nf gur erfhyg jbhyq or nop. Gung yrnirf hf jvgu gur ynfg gjb cbffvovyvgvrf. Fb S vf rvgure Fvk, Svir (fbzrguvat ryfr NAQ P vf svir)

Fb creuncf zl vavgvny fgngrzrag jnf vapbeerpg.

WyrmnaxQuote Link

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, V’z thrffvat lbh unir vg jebat, naq lbhe svkngrq ba gur cbffvovyvgl bs S orvat 6. Vg vfa’g.

Alan ScottQuote Link

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God love you all, but the phrase ‘recreational math’ lands on my brain in roughly the same way as ‘salubrious torture’. It just doesn’t (wait for it) add up.

GlyphQuote Link

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Kind of like ‘rap music’.

Mike SchillingQuote Link

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Ol wbyyl uvtuynaqf va Trbetvn prqne nfu sybngf rireljurer qnex

Randy HarrisQuote Link

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lrc. Naq V nccebir bs lbhe rapbqvat zrgubq.

Alan ScottQuote Link

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N rfgn frvf, O abguvat, P vf n unaqshyy, Q ahra, R fvqrjnlf vasvavgl, S vf yhpxl, T n fdhner, U vf pbzcnal, V vf n pebjq, naq W havgl.

Vg jnf zhpu rnfvre bapr V ernyvmrq gung P unq gb or svir naq O mreb. Nsgre gung V fnj gung R jnf rira, S naq Q bqq, naq gung Q jnf bar zber guna R. Gura fnj N k Q ybbxrq yvxr vg unq gb or svsgl fbzrguvat juvpu znqr N naq Q rvgure fvk naq 9 be 8 naq 7. Nyy sryy vagb cynpr sebz gurer.

Thanks for the puzzle, I lurves puzzles.

Sierra NevadaQuote Link

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Got it. Took about a half-hour. C and B were obvious from inspection. But then I had to start writing equations.

Road ScholarQuote Link

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