fan/medal
A father in his will left all his money to his children in the following manner:

$1000 to the first born and 1/10 of what then remains, then
$2000 to the second born and 1/10 of what then remains, then
$3000 to the third born and 1/10 of what then remains, and so on.

When this was done each child had the same amount. How many children were there?

Question

fan/medal
A father in his will left all his money to his children in the following manner:

$1000 to the first born and 1/10 of what then remains, then
$2000 to the second born and 1/10 of what then remains, then
$3000 to the third born and 1/10 of what then remains, and so on.

When this was done each child had the same amount. How many children were there?

anonymous · Answer

It asks how many children are there
81000%2F9000 = 9 children each getting 9000

mitu12 · Answer

n = n - 1 + (2 n - 1 n + 1) / 10 (dividing by 1000)
0 = -1 + (n+1) / 10
n+1 = 10
n = 9
there are 9 children