Nuts, girl and boys

Milena collected fallen nuts and called a bunch of boys let them share. She took a condition: the first boy takes one nut and tenth of the rest, the second takes 2 nuts and tenth new rest, the third takes 3 nuts and tenth new rest and so on. Thus managed to distribute all the nuts and everyone got same amounth.

Determine how many nuts gathered Milena and many boys divided the nuts.


nuts:  81
boys:  9


Program in PHP:
for($o=2;$o<1000; $o++)
    $oo = $o;
    $ch = 1;

    $stack = array();
        $d = $ch + ($oo-$ch)/10;
        if($d != (int)$d)
        $oo -= $d;
        $stack[] = $d;

        echo "nuts=$o boys=$ch";

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