In Lewis Carroll's Through the Looking Glass, 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 of Tweedledum and Tweedledee.

Question

anonymous · Answer

!!!

anonymous · Answer

so is it 362 or 361? Or is this a math riddle?

brittany · Answer

nnot surre haha thts the exact problem

anonymous · Answer

x = dee's weight, y = dum's

$$x+2y=361$$
$$y+2x=362$$

dumbcow · Answer

haha great word problem

here is how you set it up
oh satellite beat me to it

anonymous · Answer

solve and get x = 120, y = 121
i hope i have them straight!

anonymous · Answer

clear how to solve or not?  you can use substitution may be easiest.

brittany · Answer

which weight is tweeedldums

dumbcow · Answer

i think y=120

anonymous · Answer

if i did it right i put x = dee's weight, so dee is 120

anonymous · Answer

and dum is 121.  would be easier if it was cain and abel

brittany · Answer

thx

anonymous · Answer

@dumbcow am i wrong? please check for me because i could have messed up

brittany · Answer

its right :)

anonymous · Answer

Solve[ { dee + 2 dum = 361, dum + 2 dee = 362 }, { dee, dum } ]
{dee -> 121, dum -> 120}

Recheck the