rookie1ja Posted March 31, 2007 Report Share Posted March 31, 2007 No. 17 - Back to the Cryptograms and Algebra Puzzles Replace the same characters by the same numerals so that the mathematical operations are correct. THC = (T + H + C) x T x H x C This old topic is locked since solution is already provided in the Spoiler below. Pls visit New Puzzles section to see always fresh brain teasers. No. 17 - solution 135 = (1 + 3 + 5) x 1 x 3 x 5 Link to comment Share on other sites More sharing options...

Guest Posted September 26, 2007 Report Share Posted September 26, 2007 i like this one, but it does take some work (which i decided not to show). like #18, there are two solutions, but only one of the two has distinct digits: 135 = (1 + 3 + 5) * 1 * 3 * 5 and 144 = (1 + 4 + 4) * 1 * 4 * 4 Link to comment Share on other sites More sharing options...

Guest Posted September 26, 2007 Report Share Posted September 26, 2007 i like this one, but it does take some work (which i decided not to show). like #18, there are two solutions, but only one of the two has distinct digits: 135 = (1 + 3 + 5) * 1 * 3 * 5 and 144 = (1 + 4 + 4) * 1 * 4 * 4 Leave some for me, will you, guderman? Link to comment Share on other sites More sharing options...

Guest Posted January 13, 2008 Report Share Posted January 13, 2008 THC = (T + H + C) x T x H x C This is the same thing as saying: THC = (T+H+C)*(THC) Algebraically, then: THC/THC = T + H + C Therefore, 1 = T + H + C And by substitution then: 1 = (1)*(THC) Link to comment Share on other sites More sharing options...

Guest Posted March 29, 2008 Report Share Posted March 29, 2008 THC = (T + H + C) x T x H x C This is the same thing as saying: THC = (T+H+C)*(THC) Algebraically, then: THC/THC = T + H + C Therefore, 1 = T + H + C And by substitution then: 1 = (1)*(THC) THC != T*H*C THC is a single number composed of three digits; T, H, and C. Link to comment Share on other sites More sharing options...

Guest Posted August 1, 2008 Report Share Posted August 1, 2008 The number THC in algebra, where T H and C are integers is - 100T + 10H + C so the equation is 100T + 10H +C = (T + H + C)THC but the problem is you need two other equations to find the values of T, H and C Link to comment Share on other sites More sharing options...

Guest Posted November 28, 2010 Report Share Posted November 28, 2010 How can this be shown mathematically? Can anyone care to explain please? I am interested in knowing the method of solution. Link to comment Share on other sites More sharing options...

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