rookie1ja 11 Report post Posted March 31, 2007 No. 2 - Back to the Cryptograms and Algebra Puzzles Replace the same characters by the same numerals so that the mathematical operations are correct. IFIB - EBG = CEH - - + CCE / GD = FE ------------------------ EFF + EED = CBA[/code] [size=4][color=#FF0000][b]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.[/b][/color][/size] [spoiler=Solution][b]No. 2 - solution[/b] A=9, B=7, C=8, D=6, E=4, F=3, G=2, H=5, I=1 [code]1317 - 472 = 845 - - + 884 / 26 = 34 ------------------------ 433 + 446 = 879 Share this post Link to post Share on other sites

Guest Report post Posted September 26, 2007 No. 2 - Back to the Cryptograms and Algebra Puzzles Replace the same characters by the same numerals so that the mathematical operations are correct. IFIB - EBG = CEH - - + CCE / GD = FE ------------------------ EFF + EED = CBA From IFID - CCE = EFF follows that I = 1 From CCE / GD = FE follows that D x E must be xE, which limits the possibilities to E = 4 and D = 6, or E = 5 and D = 3, 7 or 9 (other options not possible, because 1 is already in use) If we assume E to be 4, we get 4BG - G6 = 446, which would imply G = 2, and therefor B = 7, and because of 1F17 - 472 = C4H, H would become 5. C45 + F4 = C7A would then imply that A = 9, and from 4FF + 446 = C79 would follow that F = 3 and C = 8 884 / 26 = 34, which covers the CCE / GD = FE line perfectly in accordance with all the above. 1317 - 472 = 845 - - + 884 / 26 = 34 ---------------- 433 + 446 = 879 A = 9, B = 7, C = 8, D = 6, E = 4, F = 3, G = 2, H = 5, I = 1 Since this solution fits perfectly, I see hardly a need to try the E = 5 option. Hardly reasonable to expect that there are two valid solutions to this type of puzzle. Thanx for having this section, Rookie. I've always loved this kind of puzzles BoilingOil Share this post Link to post Share on other sites

Guest Report post Posted December 2, 2010 Hey Rookie... I am new to the site as you know.. I love Crypto puzzles and ones with algebra in them as well but I am having a hard time understanding these puzzles. Why is there 3 layers of numbers and mutiple operations? Im not much of the math whiz here and certainly know nothing more than your basic algebra.. lol But I have never seen these kinds of equations before. Can you possibly explain a little about how to solve so I can get involved? If not I understand the reasoning... Thanks in advance though! Share this post Link to post Share on other sites

Guest Report post Posted December 2, 2010 Hey Rookie... I am new to the site as you know.. I love Crypto puzzles and ones with algebra in them as well but I am having a hard time understanding these puzzles. Why is there 3 layers of numbers and mutiple operations? Im not much of the math whiz here and certainly know nothing more than your basic algebra.. lol But I have never seen these kinds of equations before. Can you possibly explain a little about how to solve so I can get involved? If not I understand the reasoning... Thanks in advance though! I wanted to say as well.. I have figured part of it out.. but it doesnt seem to work for all puzzles.... if this helps. Share this post Link to post Share on other sites

Guest Report post Posted June 6, 2011 From IFID - CCE = EFF follows that I = 1 From CCE / GD = FE follows that D x E must be xE, which limits the possibilities to E = 4 and D = 6, or E = 5 and D = 3, 7 or 9 (other options not possible, because 1 is already in use) If we assume E to be 4, we get 4BG - G6 = 446, which would imply G = 2, and therefor B = 7, and because of 1F17 - 472 = C4H, H would become 5. C45 + F4 = C7A would then imply that A = 9, and from 4FF + 446 = C79 would follow that F = 3 and C = 8 884 / 26 = 34, which covers the CCE / GD = FE line perfectly in accordance with all the above. 1317 - 472 = 845 - - + 884 / 26 = 34 ---------------- 433 + 446 = 879 A = 9, B = 7, C = 8, D = 6, E = 4, F = 3, G = 2, H = 5, I = 1 Since this solution fits perfectly, I see hardly a need to try the E = 5 option. Hardly reasonable to expect that there are two valid solutions to this type of puzzle. Thanx for having this section, Rookie. I've always loved this kind of puzzles <!-- s:D --><!-- s:D --> BoilingOil I know your solution works, but I'm curious in the line "From CCE / GD = FE follows that D x E must be xE" why are the only possibilities for this sentence only: D=3, E=5 D=6, E=4 D=7, E=5 D=9, E=5 Why not also: D=6, E=2 D=6, E=8 Share this post Link to post Share on other sites