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TWO x SIX = TWELVE (Posted on 2008-05-02) Difficulty: 3 of 5
In the expression TWO * SIX = TWELVE, each letter E, I, L, O, S, T, V, W, and X represents a different digit 0 to 9. Find all three solutions.

See The Solution Submitted by Brian Smith    
Rating: 3.3333 (3 votes)

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Three or Eight, depends | Comment 2 of 4 |

IF one adds the stipulation that none of the three words/numbers may start with zero, there are just these three solutions:

218 * 965 = 210370

165 * 972 = 160380

345 * 986 = 340170

If one allows zero at the beginning of the three or six digit numbers, there are five more solutions:

067 * 923 = 061841

043 * 967 = 041581

057 * 962 = 054834

028 * 947 = 026516

038 * 952 = 036176.

One who sets these number/letter substitution problems should always specify whether or not zero may be a leading digit, unless something else in the specs (e.g. "using only digits 1..9" which is not the case here) entails that.  Otherwise, this is just a straightforward problem, exec time 2.17 seconds.


  Posted by ed bottemiller on 2008-05-02 16:27:52
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