math

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?

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  1. it appears to satisfy the original conditions.

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