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Bunuel
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Bunuel
If x/y = 3 and (a - x)/(b - y) = 3, then the value of a/b is?

(A) –3
(B) -2
(C) 1
(D) 2
(E) 3

Take x = 3 and y = 1

So, \(\frac{(a - x)}{(b - y)}\) = 3
Or, \(\frac{(a - 3)}{(b - 1)}\) = 3
Or, (a - 3) = 3b - 3
Or, a = 3b


We need to find the value of a/b so,

a/b = 3b/b => 3

Hence IMHO (E) 3


PS : Just posting an alternate approach , carcass 's approach to me is the most elegant way of solving the problem !!
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x/y = 3

a-x/b-y = 3

a-x/b-y = x/y

ay - xy = bx - xy (cancel out xy from both sides)

ay = bx

a/b = x/y = 3

Option E is correct answer.
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