First off the drawing you have there shows the resistors in parallel. If they were in series I would say they are 10Ohm and you need a 10 ohm....
however, having forgot the formula for parallel resistors (somethin bout inversion...i'm sick and don't have all my facilities but if you were to get say one a 7 ohm you may have the issue licked.
just remember when you are in parallel like that they aren't actually that strong and that also may be causing your heat issue.
Get a circuitry for dummies book that will help.
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Heres my 10¢, my 2¢ are free.
Caveman
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