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# If a, b, and x are nonzero numbers such that 1/a + 1/b = 1/x, then x =

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Re: If a, b, and x are nonzero numbers such that 1/a + 1/b = 1/x, then x = [#permalink]
Bunuel wrote:
If a, b, and x are nonzero numbers such that $$\frac{1}{a} + \frac{1}{b} = \frac{1}{x}$$, then x =

(A) ab

(B) a +b

(C) 1/(a + b)

(D) ab/(a + b)

(E) (a + b)/(ab)

Multiplying the entire equation by abx we have:

bx + ax = ab

x(b + a) = ab

x = ab/(b + a)