From each of the two given numbers, half the smaller number is

Question

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. 4 : 1

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Ishaan30 · Answer

Say, x and y. x > y.
x - y/2... (1)
y - y/2... (2)
(1) = 3(2)

(1) : (2)
3 : 1
EDIT : Since the question is asking for the ratio of original numbers, solving the equations (1) and (2) will give you answer x : y = 2 : 1
 Correct answer is C.

saikrishna96 · Answer

Bunuel  Is the question asking for the ratio of the resulting numbers (3:1) or the original numbers (2:1)?

Bunuel · Answer

The ratio of the original numbers.

Dereno · Answer

Let the two numbers be a & b respectively. Where a > b.

Subtract half of b = (b/2)

a - (b/2) = 3*(b - (b/2))

a - (b/2) = 3(b/2)

a = 3(b/2) + (b/2)

a = 2b

a : b =  2:1

Option C

Souradeep17 · Answer

let the numbers be X & y (where x>y)
now ATQ:
x-y/2=3(y-y/2)
x-y/2=3y/2
x=2y
x/y=2:1 (C)

From each of the two given numbers, half the smaller number is

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GMAT Problem Solving (PS) Questions

From each of the two given numbers, half the smaller number is

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