Answer:
Tweedledum weights 120 pounds and Tweedledee 121 pounds.
Step-by-step explanation:
If we say that [tex]W_1[/tex] is the weight of Tweedledum and [tex]W_2[/tex] is the weight of Tweedledee, according to what they say we can write the equations:
[tex]W_2+2W_1=361\ pounds[/tex]
[tex]W_1+2W_2=362\ pounds[/tex]
We can solve this easily by substitution for example.
From the first equation we can write:
[tex]W_2=361\ pounds-2W_1[/tex]
And substitute in the second equation:
[tex]W_1+2(361\ pounds-2W_1)=362\ pounds[/tex]
Which means:
[tex]W_1+722\ pounds-4W_1=362\ pounds[/tex]
[tex]3W_1=722\ pounds-362\ pounds=360\ pounds[/tex]
Which results in [tex]W_1=\frac{360\ pounds}{3}=120\ pounds[/tex]
And we return to the first equation to have:
[tex]W_2=361\ pounds-2W_1=361\ pounds-2(120\ pounds)=121\ pounds[/tex]
