rookie1ja 11 Report post 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 Share this post Link to post Share on other sites

Guest Report post 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 Share this post Link to post Share on other sites

Guest Report post 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? Share this post Link to post Share on other sites

Guest Report post 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) Share this post Link to post Share on other sites

Guest Report post 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. Share this post Link to post Share on other sites

Guest Report post 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 Share this post Link to post Share on other sites

Guest Report post 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. Share this post Link to post Share on other sites