.
a + (a-4) = 12
2a - 4 = 12
2a = 12 + 4
2a = 16
a = 16/2 = 8.
ANSWER. Athena weights 8 pounds.
Solved and presented in a form of a mantra to repeat it
many times again and again for any other similar problem.
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It always touches me when I see a request "solve the problem by introducing variables in such and such a way."
Then I think where these people fell from.
Real teachers usually avoid to give instructions in Math at such micro-managing level.
Micro-managing in Math is the way to create a generations of students who will hate Math.