Quantitative Aptitude Ques 1786

Question: Two numbers are in the ratio 1: 2. When 4 is added to each, the ratio becomes 2: 3. Then, the numbers are

Options:

A) 9 and 12

B) 6 and 8

C) 4 and 8

D) 6 and 9

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the two numbers be x and y, respectively.

$ \therefore $ $ \frac{x}{y}=\frac{1}{2} $ [given]

$ \Rightarrow $ $ y=2x $ … (i) Now, when 4 is added to each number the ratio becomes 2: 3. Then, $ \frac{x+4}{y+4}=\frac{2}{3} $

$ \Rightarrow $ $ 3x+12=2y+8 $

$ \Rightarrow $ $ 3x+12=2(2x)+8 $ [from Eq. (i)]

$ \Rightarrow $ $ 3x+12=4x+8 $

$ \Rightarrow $ $ x=4 $ Now, from Eq. (i) $ y=2x $

$ \Rightarrow $ $ y=2\times 4=8 $ So, the numbers are 4 and 8.

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