All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Will Wangle (Posted on 2014-02-13)
In his will Ethan left all his money to his children in the following manner:
1. \$1000 to the first born and one tenth of what then remains, then:
2. \$2000 to the second born and one tenth of what then remains, then:
3. \$3000 to the third born and one tenth of what then remains, and so on.....
When this is done each child had the same amount.
How many children were there?

 No Solution Yet Submitted by K Sengupta No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 solution | Comment 2 of 5 |

Let x be the amount to be divided.

Consider the first two children:

1000 + (x-1000)/10 = 2000 + (x - 3000 - (x-1000)/10)/10
10000 + (x-1000) = 20000 + x - 3000 - (x-1000)/10
100000 + 10x - 10000 = 200000 + 10x - 30000 - x + 1000

90000 = 170000 - x + 1000
x = 170000 - 90000 + 1000 = 81000   ; this is the amount to be divided

1000 + (x-1000)/10 = 9000  ; this is the amount per child, as it's what the first child gets

\$81000 / (\$9000/child) = 9 children

 Posted by Charlie on 2014-02-13 12:17:07

 Search: Search body:
Forums (0)