Determine a 7-digit number ABCDEFG where each letter denotes a digit (not all digits must be distinct) and A≠0, such that:

ABCDEFG/FGABCDE=5/12 and EFGABCD/DEFGABC=51/29

1673640 (The only possibility)

12 * 1673640 = 5 * 4016736

29 * 6401673 = 51 * 3640167

Posted by Penny on 2006-09-07 10:09:24