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1、奇妙的数设原六位数是ABCDEF。根据题意有4 × ABCDEF=FABCDE 现令M=ABCDE 则上式可写为4(10M+F)=100000·F+M 化简 39M=99996F 得M=2564F 为保证M为五位数,F可取4、5、6、7、8、9,此时,对应的M分别为10256,12820,15384,17948,20512,23076。满足题意要求的六位数有六个,分别为 102564 128205 153846 179487 205128 230769 大家可验算一下: 102564×4=410256, 128205×4=512820, 153846×4=615384,179487×4=717948, 205128×4=820512, 230769×4=923076。
1, the wonderful number of the original six figures is ABCDEF. According to the question meaning 4 × ABCDEF = FABCDE now M = ABCDE then the formula can be written as 4 (10M + F) = 100000 · F + M Simplify 39M = 9996F to get M = 2564F To ensure that M is five digits, F It is preferable that 4, 5, 6, 7, 8, 9 correspond to M respectively 10256,12820,15384,17948,20512,23076. There are six six-digit numbers that satisfy the question-requirement requirement: 102,564,128,205,153,846,179,487,205,128,230,769. Everyone can check: 102564×4=410256, 128205×4=512820, 153846×4=615384,179487×4=717948, 205128 X4=820512, 230769×4=923076.