Question 162698
Let x = Tweedledee's weight and y = Tweedledum's weight.
According to Tweedledum:
1) x+2y = 361 Lbs.
According to Tweedledee:
2) 2x+y = 362 Lbs.
We'll need to solve this system of equations to find their respective weights.
Multiply equation 1) by 2 then subtract equation 2) from equation 1.
1) 2x+4y = 722
2) -(2x+y = 362)
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3) 3y = 360 Divide both sides by 3.
4) y = 120 and, from equation 1)  x = 361-2y
5) x = 361-2(120)
5) x = 361- 240
5) x = 121
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So, Tweedledee's weight (x) is 121 Lbs and Tweedledum's weight (y) is 120 Lbs.
Let's check this solution:
According to Tweedledum:
121+2(120) = 121+240 = 361 Lbs.
According to Tweedledum:
120+2(121) = 120+242 = 362 Lbs.
I just hope that I didn't get the two Tweedles mixed up!