You would put one of the constructs suggested by haukex or LanX inside the while from your original code, around your if/else block.
(Also, rather than having that if/else block, and repeating two almost-identical pieces of code: after generating the two random numbers, I would suggest using this to swap them, so the first is always bigger than the second:
if($random_integer1 < $random_integer2)
{
my $tmp = $random_integer2;
$random_integer2 = $random_integer1;
$random_integer1 = $tmp;
}
That way, you only need one piece of code for asking and checking the answer, rather than two nearly-identical pieces. There are more perlish ways of doing the swap, but I chose to make it easy for you to understand.)
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