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In this hypothetical problem written by Richard Rusczyk:
Tweedledum says, "The sum of your weight and twice mine is 361 pounds." Tweedledee says, "Contrariwise, the sum of your weight and twice mine is 362 pounds." If they are both correct, how much do Tweedledum and Tweedledee weigh together?
Tweedledum and Tweedledee weigh 120 and 121 pounds respectively.
(NB: Tweedledum and Tweedledee never actually had this converstion, and in the original book their weight remains a mystery...)
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Tweedledum says to Tweedledee The sum of your weight and twice mine is 361 pounds Then Tweedledee says to Tweedledum Contrariwise the sum of your weight and twice mine is 362 pounds Find the weight?
To get Tweedledee's side of it, divide 361 by 2 to get 180.5 lbs. Since they are the same exact size and age in proportion to their body size, shape, and age, then they are both 180.5 lbs. To find half of 361 lbs., just divide it by 2. To get Tweedledee's side of it, do the same for that number, and you get 181 lbs. They are arguing with one another as to what their weight is.
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