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as large as the smaller

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as large as the smaller

by sanju09 » Tue Jan 12, 2010 3:18 am
From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers, the larger one is three times as large as the smaller. What is the ratio of the two numbers?
(A) 4:3
(B) 3:2
(C) 2:1
(D) 3:1
(E) None of these
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by rohan_vus » Tue Jan 12, 2010 4:10 am
C it should be

Let 2 numbers be x and y
Consider x > y

Then After subtraction ,
(x - y/2) and y/2...Among these bigger one is (x - y/2)..Since x > y

Given (x - y/2) = 3*y/2==> x = 2y so , ratio of x : y :: 2:1
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