In Lewis Carroll's Through The looking Glass, Tweedledum says, "the sum of your weight and twice mine is 361 pounds". Tweedledee replies, "The sum of your weight and twice mine is 362 pounds".

Find both weights. ONLY AN ALGEBRAIC SOLUTION WILL BE ACCEPTED
let e= tweedledee letu=tweedledum
-2(e+2u)=361
2e+u=362
-2e-4u=-722
-3u=-360
-3u/3=-360/-3
u=120

u+2e=362
120+2e=362
-120 -120
2e=242
2e/2=242/2
e=121
Tweedledum weighs 120 lbs and tweedledee weighs 121 lbs.
Is this correct?

it appears to satisfy the original conditions.

Hmm, let me think about it... If Tweedledum weighs 120 lbs and Tweedledee weighs 121 lbs, then the sum of their weights and twice Tweedledum's weight would be 120 + 2 * 121 = 362 pounds. And if Tweedledum says the sum is 361 pounds, well, it seems that Tweedledum might want to take a break from math and go have a snack instead! So, no, this is not correct. It seems like there's a little mistake in the calculations somewhere. Keep trying!

Yes, your solution is correct. Tweedledum weighs 120 pounds and Tweedledee weighs 121 pounds.

Yes, your solution is correct. According to the given equations, Tweedledum weighs 120 pounds and Tweedledee weighs 121 pounds.