Quantitative Aptitude Ques 1184

Question: The ratio of the age of Ram and Rahim 10 yr’s ago was 1: 3. The ratio of their ages five years hence will be 2: 3. Then, the ratio of their present ages is

Options:

A) 1 : 2

B) 3 : 5

C) 3 : 4

D) 2 : 5

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let 10 yr’s ago, ages of Ram and Rahim were and 3x yr’s, respectively. Present age of Ram = x + 10 Present age of Rahim = 3x +10 According to the question, $ \frac{x+10+5}{3x+10+5}=\frac{2}{3} $

$ \Rightarrow $ $ 3x+45=6x+30 $

$ \Rightarrow $ $ 3x=15 $

$ \Rightarrow $ $ x=5 $

$ \therefore $ Required Ratio $ =\frac{5+10}{3\times 5+10}=\frac{15}{25}=3:5 $

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