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

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?

  1. 2 : 3
  2. 3 : 2
  3. 3 : 1
  4. 2 : 1

Answer

Let x and 2y be two numbers. x > 2y

Half of smaller number = y

Numbers obtained when half of smaller number is subtracted:

(x - y) and (2y - y) or (x - y) and (y)

The larger one is three times as large as smaller one.

x - y = 3y

x = 4y

x/2y = 2/1

The correct option is D.