You really don't want to bypass use strict. It's saving you from later headaches.

Any time you have a sequentially named series of variables, it's a good clue that they are related, and if they're related, they belong in a common data structure, because at some point, you will probably want to iterate over all or some of them.

In your particular case, I'd suspect you want the two filehandles to be in an array. However, Perl doesn't allow traditional filehandles to be moved around like data, so you have to create fairly modern filehandle objects instead:

use strict;
use Carp;
use IO::File;

my @handles;
push @handles, IO::File->open(">c:/File1.txt") || die "Can't open File
+1 for writing\n";
push @handles, IO::File->open(">c:/File2.txt") || die "Can't open File
+2 for writing\n";

for my $variable ( 0..1 ) { # write this to both files
  print { $handles[$variable] } "Hello\n";
}
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-- Randal L. Schwartz, Perl hacker
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