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Bunuel
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GMAT 1: 800 Q51 V49
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Bunuel
If b ≠ 1 and if ab/(a - b) = 1, what is the value of a in terms of b?

A. b/(1 - b)
B. (b - 1)/b
C. b/(b + 1)
D. (b + 1)/b
E. (1 - b)/b

Simplifying, we have:

ab = a - b

b = a - ab

b = a(1 - b)

b/(1 - b) = a

Answer: A
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Well, I couldn't solve. So I thought to use options.


Option A : a=b/(1 - b)

If you solve you get the original equation back. Hence A is the right answer.

Also, the trick by Empower is neat.! (but as Rich said you probably won't see it on the test day)
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Bunuel
If b ≠ 1 and if ab/(a - b) = 1, what is the value of a in terms of b?

A. b/(1 - b)
B. (b - 1)/b
C. b/(b + 1)
D. (b + 1)/b
E. (1 - b)/b

Simplifying, we have:

ab = a - b

ab - a = -b

a(b - 1) = -b

a = -b / (b - 1)

a = b / (1 - b)

Answer: A
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