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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: ( Back to comment list | You must be logged in to post comments.)
re: So close yet so far? | Comment 3 of 4 |
(In reply to So close yet so far? by tomarken)

I don't know if this would help in the analysis, but the next few solutions for the current problem (that is, beyond the minimum amount) have the following for the initial amount and the amount left for each stepchild:



 init amt   each stepchild
  6588338    319926
 12353139 599862
 18117940 879798

  Posted by Charlie on 2014-05-27 23:36:45
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