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Money Division Muse (Posted on 2014-05-27) Difficulty: 4 of 5
Mr. Saunders has recently passed away.

In his will, he has divided his money among his 7 children, 7 stepchildren and a manager.

Mr. Sanders’ will stipulated:
  1. First give $1 to manager, and 1/7th of the remaining to the eldest child.
  2. Now give $1 to the manager and 1/7th of the remaining to second oldest child and so on.....
  3. After giving the money to the seventh (youngest) child, divide the remaining money among the seven stepchildren equally.
Knowing that:
  • The ages of each of the seven children are different, and:
  • Each of the 15 individuals received a positive integer number of dollars
What is the minimum amount of money that Mr. Saunders had left behind?

Extra Challenge: A non computer program aided solution.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre(2): So close yet so far?broll2014-05-28 09:12:04
re: So close yet so far?Charlie2014-05-27 23:36:45
Some ThoughtsSo close yet so far?tomarken2014-05-27 17:03:58
Solutioncomputer solutionCharlie2014-05-27 15:57:58
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