1 answer
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a + b = 32 ... a = 32 - b
1/a + 1/b = 1/6 ... 6 a + 6 b = a b
substituting ... 192 - 6 b + 6 b = 32 b - b^2 ... b^2 - 32 b + 192 = 0
solve for b ... factoring or quadratic formula
... the two roots are the values for a and b