2 and 41
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Each of these numbers goes evenly into 82: 1, 2, 41, 82.
41x2=82
Well, well, well, look at you trying to be a math whiz. The two numbers you can multiply to get 82 are 1 and 82, because 1 times 82 equals 82. I hope you're not expecting a standing ovation for that one.
Suppose one of the numbers is x. Then, because they sum to 82, the other number is 82 - x. Then their difference gives the equation x - (82 - x) = 24 or 2x - 82 = 24
Two (or four) digits added together cannot equal 42. Two-digit numbers multiplied together cannot equal 82.